Atkin-Lehner |
2+ 3+ 23- 53- |
Signs for the Atkin-Lehner involutions |
Class |
58512b |
Isogeny class |
Conductor |
58512 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
838400 |
Modular degree for the optimal curve |
Δ |
-581593692489329664 = -1 · 210 · 310 · 23 · 535 |
Discriminant |
Eigenvalues |
2+ 3+ 3 4 2 -3 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-71264,37438992] |
[a1,a2,a3,a4,a6] |
Generators |
[94:-5618:1] |
Generators of the group modulo torsion |
j |
-39087728736753028/567962590321611 |
j-invariant |
L |
7.8041311265028 |
L(r)(E,1)/r! |
Ω |
0.24585590220942 |
Real period |
R |
0.79356759959523 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999959 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29256c1 |
Quadratic twists by: -4 |