Atkin-Lehner |
2+ 3+ 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
95370g |
Isogeny class |
Conductor |
95370 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-60935292940500 = -1 · 22 · 33 · 53 · 11 · 177 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 1 11- -1 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-29628,1986228] |
[a1,a2,a3,a4,a6] |
Generators |
[-152:1810:1] [86:-332:1] |
Generators of the group modulo torsion |
j |
-119168121961/2524500 |
j-invariant |
L |
7.1496509575136 |
L(r)(E,1)/r! |
Ω |
0.62341546142372 |
Real period |
R |
1.4335646531422 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996625 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5610q1 |
Quadratic twists by: 17 |