Atkin-Lehner |
2- 3- 7- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
70224cv |
Isogeny class |
Conductor |
70224 |
Conductor |
∏ cp |
448 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
7598222315438211072 = 218 · 37 · 78 · 112 · 19 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11- 0 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1573528,-748590700] |
[a1,a2,a3,a4,a6] |
Generators |
[2486:-103488:1] |
Generators of the group modulo torsion |
j |
105193151438106201625/1855034744980032 |
j-invariant |
L |
8.8866580679432 |
L(r)(E,1)/r! |
Ω |
0.13494153484199 |
Real period |
R |
0.58799658248137 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998792 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8778c1 |
Quadratic twists by: -4 |