Atkin-Lehner |
2- 3- 5+ |
Signs for the Atkin-Lehner involutions |
Class |
7200bo |
Isogeny class |
Conductor |
7200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-77484097800000000 = -1 · 29 · 318 · 58 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 -4 -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5325,-13391750] |
[a1,a2,a3,a4,a6] |
Generators |
[23694738710:-662136126561:29791000] |
Generators of the group modulo torsion |
j |
2863288/13286025 |
j-invariant |
L |
4.4356599215003 |
L(r)(E,1)/r! |
Ω |
0.15912488723598 |
Real period |
R |
13.937668703332 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7200p4 14400br4 2400l4 1440g4 |
Quadratic twists by: -4 8 -3 5 |