Atkin-Lehner |
2- 3+ 7- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
114954cc |
Isogeny class |
Conductor |
114954 |
Conductor |
∏ cp |
2576 |
Product of Tamagawa factors cp |
deg |
1365073920 |
Modular degree for the optimal curve |
Δ |
3.5884459077919E+33 |
Discriminant |
Eigenvalues |
2- 3+ 4 7- 4 -4 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-78538999036,-7966522553926819] |
[a1,a2,a3,a4,a6] |
Generators |
[-17498855:-2100682443:125] |
Generators of the group modulo torsion |
j |
455398460326051630614770211002161/30501286944996511890026790912 |
j-invariant |
L |
13.316614301602 |
L(r)(E,1)/r! |
Ω |
0.009056337113521 |
Real period |
R |
2.283260019231 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000031935 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16422w1 |
Quadratic twists by: -7 |