Atkin-Lehner |
7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
77077m |
Isogeny class |
Conductor |
77077 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
9068031973 = 78 · 112 · 13 |
Discriminant |
Eigenvalues |
1 -3 2 7- 11- 13+ 1 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1381,19564] |
[a1,a2,a3,a4,a6] |
Generators |
[-40:118:1] |
Generators of the group modulo torsion |
j |
20469537/637 |
j-invariant |
L |
5.6633555389501 |
L(r)(E,1)/r! |
Ω |
1.2929873468235 |
Real period |
R |
2.190027440335 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997376 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11011q1 77077ba1 |
Quadratic twists by: -7 -11 |