Atkin-Lehner |
3+ 7+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
115311c |
Isogeny class |
Conductor |
115311 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1427456 |
Modular degree for the optimal curve |
Δ |
103481322673676661 = 38 · 7 · 179 · 19 |
Discriminant |
Eigenvalues |
0 3+ -1 7+ 6 -3 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-307881,-63804085] |
[a1,a2,a3,a4,a6] |
j |
27216576512/872613 |
j-invariant |
L |
0.81230137884496 |
L(r)(E,1)/r! |
Ω |
0.20307509440377 |
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 |
115311t1 |
Quadratic twists by: 17 |