Atkin-Lehner |
3- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
7245k |
Isogeny class |
Conductor |
7245 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
148545140625 = 310 · 56 · 7 · 23 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 2 -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2070,31671] |
[a1,a2,a3,a4,a6] |
Generators |
[342:6093:1] |
Generators of the group modulo torsion |
j |
1345938541921/203765625 |
j-invariant |
L |
4.6980901305575 |
L(r)(E,1)/r! |
Ω |
0.98659148990001 |
Real period |
R |
4.7619406599925 |
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 |
115920dc1 2415i1 36225bj1 50715bn1 |
Quadratic twists by: -4 -3 5 -7 |