Atkin-Lehner |
2+ 3+ 7+ 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
59598a |
Isogeny class |
Conductor |
59598 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
25344 |
Modular degree for the optimal curve |
Δ |
96369966 = 2 · 33 · 73 · 112 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7+ 11+ 1 -7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-330,-2178] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:11:1] [-9:6:1] |
Generators of the group modulo torsion |
j |
147449000187/3569258 |
j-invariant |
L |
6.7946429395939 |
L(r)(E,1)/r! |
Ω |
1.1216311517361 |
Real period |
R |
1.5144557390983 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59598n1 |
Quadratic twists by: -3 |