Atkin-Lehner |
7+ 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
107387h |
Isogeny class |
Conductor |
107387 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2013696 |
Modular degree for the optimal curve |
Δ |
-125412458665007227 = -1 · 74 · 239 · 29 |
Discriminant |
Eigenvalues |
-2 -2 4 7+ 0 -5 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,52724,-16371262] |
[a1,a2,a3,a4,a6] |
Generators |
[24645:164192:125] |
Generators of the group modulo torsion |
j |
8998912/69629 |
j-invariant |
L |
2.9663997920693 |
L(r)(E,1)/r! |
Ω |
0.16400310910427 |
Real period |
R |
4.5218653495341 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999996189707 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107387k1 |
Quadratic twists by: -23 |