Atkin-Lehner |
2+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
59290ce |
Isogeny class |
Conductor |
59290 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
567000 |
Modular degree for the optimal curve |
Δ |
-20016885383747560 = -1 · 23 · 5 · 710 · 116 |
Discriminant |
Eigenvalues |
2+ 2 5- 7- 11- 5 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-6052,-6811944] |
[a1,a2,a3,a4,a6] |
j |
-49/40 |
j-invariant |
L |
4.3342033681103 |
L(r)(E,1)/r! |
Ω |
0.17336813478371 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59290e1 490i1 |
Quadratic twists by: -7 -11 |