Atkin-Lehner |
2+ 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
62400f |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-5569395000000 = -1 · 26 · 3 · 57 · 135 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -1 1 13+ 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3383,-135363] |
[a1,a2,a3,a4,a6] |
Generators |
[732:19725:1] |
Generators of the group modulo torsion |
j |
-4283098624/5569395 |
j-invariant |
L |
5.533018168861 |
L(r)(E,1)/r! |
Ω |
0.29851235186864 |
Real period |
R |
4.6338268201126 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999384 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62400cd1 31200s1 12480bj1 |
Quadratic twists by: -4 8 5 |