Atkin-Lehner |
2- 3- 5- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
122760bz |
Isogeny class |
Conductor |
122760 |
Conductor |
∏ cp |
576 |
Product of Tamagawa factors cp |
deg |
4644864 |
Modular degree for the optimal curve |
Δ |
4.6929120907278E+21 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11- 0 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4497762,-1617604891] |
[a1,a2,a3,a4,a6] |
Generators |
[-1702:33275:1] |
Generators of the group modulo torsion |
j |
862711553000150800384/402341571564453125 |
j-invariant |
L |
7.2960822504098 |
L(r)(E,1)/r! |
Ω |
0.108445600707 |
Real period |
R |
0.46721339808149 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000046729 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13640c1 |
Quadratic twists by: -3 |