Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
72600bu |
Isogeny class |
Conductor |
72600 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
374400 |
Modular degree for the optimal curve |
Δ |
-597567565900800 = -1 · 210 · 313 · 52 · 114 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 11- 5 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,18352,-677712] |
[a1,a2,a3,a4,a6] |
Generators |
[52:648:1] |
Generators of the group modulo torsion |
j |
1823641820/1594323 |
j-invariant |
L |
7.3400246475944 |
L(r)(E,1)/r! |
Ω |
0.28369840540449 |
Real period |
R |
0.99510125873082 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990845 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72600dh1 72600ee1 |
Quadratic twists by: 5 -11 |