Atkin-Lehner |
2- 3- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
7038m |
Isogeny class |
Conductor |
7038 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-3828748742352 = -1 · 24 · 37 · 17 · 235 |
Discriminant |
Eigenvalues |
2- 3- 0 2 5 -3 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,3415,53561] |
[a1,a2,a3,a4,a6] |
j |
6043486088375/5252055888 |
j-invariant |
L |
4.0838252685391 |
L(r)(E,1)/r! |
Ω |
0.51047815856739 |
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 |
56304bv1 2346e1 119646ck1 |
Quadratic twists by: -4 -3 17 |