Atkin-Lehner |
7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
2597a |
Isogeny class |
Conductor |
2597 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
264 |
Modular degree for the optimal curve |
Δ |
127253 = 74 · 53 |
Discriminant |
Eigenvalues |
1 2 0 7+ -3 -5 5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-25,36] |
[a1,a2,a3,a4,a6] |
Generators |
[0:6:1] |
Generators of the group modulo torsion |
j |
765625/53 |
j-invariant |
L |
4.9930236745591 |
L(r)(E,1)/r! |
Ω |
3.2338057808126 |
Real period |
R |
1.5440085190597 |
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 |
41552t1 23373b1 64925c1 2597c1 |
Quadratic twists by: -4 -3 5 -7 |