Atkin-Lehner |
2+ 3- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
7038f |
Isogeny class |
Conductor |
7038 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
56820850900992 = 214 · 36 · 17 · 234 |
Discriminant |
Eigenvalues |
2+ 3- 0 4 2 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-892377,324690093] |
[a1,a2,a3,a4,a6] |
j |
107805659942195988625/77943554048 |
j-invariant |
L |
2.0813512640706 |
L(r)(E,1)/r! |
Ω |
0.52033781601764 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56304bk1 782c1 119646k1 |
Quadratic twists by: -4 -3 17 |