Atkin-Lehner |
2- 3- 11- 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
104346bz |
Isogeny class |
Conductor |
104346 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
7122725158824 = 23 · 312 · 11 · 173 · 31 |
Discriminant |
Eigenvalues |
2- 3- -3 -1 11- 2 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-11354,-444751] |
[a1,a2,a3,a4,a6] |
Generators |
[-69:115:1] |
Generators of the group modulo torsion |
j |
222027614732377/9770542056 |
j-invariant |
L |
7.1250871232583 |
L(r)(E,1)/r! |
Ω |
0.46376221707224 |
Real period |
R |
2.5606107557699 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999948481 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34782i1 |
Quadratic twists by: -3 |