Atkin-Lehner |
2- 7- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
77924v |
Isogeny class |
Conductor |
77924 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
748800 |
Modular degree for the optimal curve |
Δ |
11759405815902976 = 28 · 7 · 1111 · 23 |
Discriminant |
Eigenvalues |
2- 1 3 7- 11- 1 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1336364,-595036972] |
[a1,a2,a3,a4,a6] |
Generators |
[-2535565419464318:275662267399057:3780376880552] |
Generators of the group modulo torsion |
j |
581972233018192/25929211 |
j-invariant |
L |
10.48599978909 |
L(r)(E,1)/r! |
Ω |
0.14041693744929 |
Real period |
R |
18.669399823788 |
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 |
7084b1 |
Quadratic twists by: -11 |