Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800cg |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-8268750000 = -1 · 24 · 33 · 58 · 72 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -4 -1 -6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-583,7162] |
[a1,a2,a3,a4,a6] |
Generators |
[6:62:1] |
Generators of the group modulo torsion |
j |
-71680/27 |
j-invariant |
L |
3.9705913347993 |
L(r)(E,1)/r! |
Ω |
1.2314608804787 |
Real period |
R |
3.2242935181786 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999529 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29400ci1 58800dk1 58800eb1 |
Quadratic twists by: -4 5 -7 |