Atkin-Lehner |
2- 3- 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
7440y |
Isogeny class |
Conductor |
7440 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-60460892160000000 = -1 · 228 · 3 · 57 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 4 -4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,35800,-11527500] |
[a1,a2,a3,a4,a6] |
j |
1238798620042199/14760960000000 |
j-invariant |
L |
2.4138672453433 |
L(r)(E,1)/r! |
Ω |
0.17241908895309 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
930d1 29760bq1 22320bj1 37200bl1 |
Quadratic twists by: -4 8 -3 5 |