Atkin-Lehner |
2- 7- 17- 71- |
Signs for the Atkin-Lehner involutions |
Class |
118286be |
Isogeny class |
Conductor |
118286 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
816480 |
Modular degree for the optimal curve |
Δ |
6230617491492352 = 29 · 76 · 172 · 713 |
Discriminant |
Eigenvalues |
2- -1 0 7- -6 1 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-50863,2230773] |
[a1,a2,a3,a4,a6] |
Generators |
[-81:2454:1] |
Generators of the group modulo torsion |
j |
123692088390625/52959374848 |
j-invariant |
L |
6.1899104684136 |
L(r)(E,1)/r! |
Ω |
0.38262668998135 |
Real period |
R |
0.29958174108953 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000145283 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2414e1 |
Quadratic twists by: -7 |