Atkin-Lehner |
3- 7+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
115311m |
Isogeny class |
Conductor |
115311 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1797120 |
Modular degree for the optimal curve |
Δ |
5184847924704427581 = 36 · 7 · 177 · 195 |
Discriminant |
Eigenvalues |
0 3- -1 7+ 0 5 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-466831,-55565198] |
[a1,a2,a3,a4,a6] |
j |
466133351366656/214804064349 |
j-invariant |
L |
2.2904160920032 |
L(r)(E,1)/r! |
Ω |
0.19086796105502 |
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 |
6783b1 |
Quadratic twists by: 17 |