Atkin-Lehner |
2+ 5+ 11- 103- |
Signs for the Atkin-Lehner involutions |
Class |
124630d |
Isogeny class |
Conductor |
124630 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-6730227384320 = -1 · 220 · 5 · 112 · 1032 |
Discriminant |
Eigenvalues |
2+ -1 5+ -3 11- 2 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-21353,1198597] |
[a1,a2,a3,a4,a6] |
Generators |
[114:455:1] |
Generators of the group modulo torsion |
j |
-8899115039917729/55621713920 |
j-invariant |
L |
3.0276223411596 |
L(r)(E,1)/r! |
Ω |
0.75321585018066 |
Real period |
R |
1.0048986551987 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998727587 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124630v1 |
Quadratic twists by: -11 |