Atkin-Lehner |
2+ 3- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
7038g |
Isogeny class |
Conductor |
7038 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-3940379136 = -1 · 29 · 39 · 17 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 1 0 6 -6 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1629,-25083] |
[a1,a2,a3,a4,a6] |
j |
-656008386769/5405184 |
j-invariant |
L |
1.5021842072471 |
L(r)(E,1)/r! |
Ω |
0.37554605181179 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56304bm1 2346i1 119646m1 |
Quadratic twists by: -4 -3 17 |