Atkin-Lehner |
2- 7+ 29+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
100688o |
Isogeny class |
Conductor |
100688 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
11277056 = 28 · 72 · 29 · 31 |
Discriminant |
Eigenvalues |
2- 2 3 7+ -2 2 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-84684,-9457108] |
[a1,a2,a3,a4,a6] |
Generators |
[-176078729591997357:15013234492424:1050104269894707] |
Generators of the group modulo torsion |
j |
262357186953710032/44051 |
j-invariant |
L |
12.504701778888 |
L(r)(E,1)/r! |
Ω |
0.27986512732318 |
Real period |
R |
22.340585800188 |
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 |
25172f1 |
Quadratic twists by: -4 |