Atkin-Lehner |
5- 7+ 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
116725n |
Isogeny class |
Conductor |
116725 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
-67116875 = -1 · 54 · 7 · 232 · 29 |
Discriminant |
Eigenvalues |
-2 1 5- 7+ -6 4 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,42,394] |
[a1,a2,a3,a4,a6] |
Generators |
[13:57:1] |
Generators of the group modulo torsion |
j |
12800000/107387 |
j-invariant |
L |
2.9123486667611 |
L(r)(E,1)/r! |
Ω |
1.4300876177312 |
Real period |
R |
0.33941379230533 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999996455882 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116725m1 |
Quadratic twists by: 5 |