Atkin-Lehner |
2+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
59290j |
Isogeny class |
Conductor |
59290 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2882880 |
Modular degree for the optimal curve |
Δ |
-4844086262866909520 = -1 · 24 · 5 · 710 · 118 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 11- 4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-22569850,-41265126204] |
[a1,a2,a3,a4,a6] |
Generators |
[287359969872:2935390301334:51895117] |
Generators of the group modulo torsion |
j |
-20998480041/80 |
j-invariant |
L |
3.5272247555645 |
L(r)(E,1)/r! |
Ω |
0.034632774940022 |
Real period |
R |
16.974406284572 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59290bd1 59290ct1 |
Quadratic twists by: -7 -11 |