Atkin-Lehner |
2+ 3- 5+ 19+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
122550s |
Isogeny class |
Conductor |
122550 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
74323200 |
Modular degree for the optimal curve |
Δ |
-1.3397310402724E+28 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 1 0 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,593580499,-168658995352] |
[a1,a2,a3,a4,a6] |
Generators |
[10246853541896285164910352194196602858410557975595418033722590035450854467071050569066362:4825767381286260231724933421937396073445919096779011084983062211056065990529873853797727021:4311322764944607347397041196369690556638424524762789902280851248197533716773460442296] |
Generators of the group modulo torsion |
j |
1480275532813240068440258879/857427865774325760000000 |
j-invariant |
L |
6.551623118986 |
L(r)(E,1)/r! |
Ω |
0.023660301987079 |
Real period |
R |
138.45180679781 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24510j1 |
Quadratic twists by: 5 |