Atkin-Lehner |
2+ 3- 5+ 23+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
122130l |
Isogeny class |
Conductor |
122130 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
304128 |
Modular degree for the optimal curve |
Δ |
-1164944332800 = -1 · 211 · 36 · 52 · 232 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -5 3 -3 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1125,-50139] |
[a1,a2,a3,a4,a6] |
Generators |
[63:-549:1] |
Generators of the group modulo torsion |
j |
215892017999/1598003200 |
j-invariant |
L |
3.5416384324122 |
L(r)(E,1)/r! |
Ω |
0.4312319580539 |
Real period |
R |
1.0266048066723 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000070536 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13570f1 |
Quadratic twists by: -3 |