Atkin-Lehner |
2+ 11- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
1738c |
Isogeny class |
Conductor |
1738 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7040 |
Modular degree for the optimal curve |
Δ |
4851295584256 = 222 · 114 · 79 |
Discriminant |
Eigenvalues |
2+ 3 3 1 11- 1 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-22348,-1275952] |
[a1,a2,a3,a4,a6] |
j |
1234384987853171097/4851295584256 |
j-invariant |
L |
3.1245079273007 |
L(r)(E,1)/r! |
Ω |
0.39056349091258 |
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 |
13904f1 55616d1 15642g1 43450w1 |
Quadratic twists by: -4 8 -3 5 |