Atkin-Lehner |
2- 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800hd |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
-12649620480000 = -1 · 213 · 3 · 54 · 77 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -2 -1 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3430408,-2444351888] |
[a1,a2,a3,a4,a6] |
j |
-14822892630025/42 |
j-invariant |
L |
0.88746878426084 |
L(r)(E,1)/r! |
Ω |
0.055466799113272 |
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 |
7350bj1 58800ik2 8400ct1 |
Quadratic twists by: -4 5 -7 |