Atkin-Lehner |
2- 7- 13- 61- |
Signs for the Atkin-Lehner involutions |
Class |
77714p |
Isogeny class |
Conductor |
77714 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
135838476592 = 24 · 77 · 132 · 61 |
Discriminant |
Eigenvalues |
2- 1 0 7- -3 13- 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2353,-40391] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:61:1] |
Generators of the group modulo torsion |
j |
12246522625/1154608 |
j-invariant |
L |
11.238264301063 |
L(r)(E,1)/r! |
Ω |
0.68962214259649 |
Real period |
R |
1.0185164821156 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002135 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11102f1 |
Quadratic twists by: -7 |