Atkin-Lehner |
2- 3- 5- 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
74550dp |
Isogeny class |
Conductor |
74550 |
Conductor |
∏ cp |
336 |
Product of Tamagawa factors cp |
deg |
5160960 |
Modular degree for the optimal curve |
Δ |
2.0136278658825E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -1 3 -2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-17124513,27265699017] |
[a1,a2,a3,a4,a6] |
Generators |
[102:159699:1] |
Generators of the group modulo torsion |
j |
284346811907525892797/103097746733184 |
j-invariant |
L |
12.470924093577 |
L(r)(E,1)/r! |
Ω |
0.17516955994561 |
Real period |
R |
0.21188524721661 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000727 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74550bb1 |
Quadratic twists by: 5 |