Atkin-Lehner |
2- 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800hg |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-3631824630000 = -1 · 24 · 32 · 54 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 3 6 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2858,109887] |
[a1,a2,a3,a4,a6] |
j |
-6400/9 |
j-invariant |
L |
2.8407397347955 |
L(r)(E,1)/r! |
Ω |
0.71018493417586 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14700bt1 58800ir1 58800jx1 |
Quadratic twists by: -4 5 -7 |