Atkin-Lehner |
2- 11+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
70642h |
Isogeny class |
Conductor |
70642 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
-334441328994873386 = -1 · 2 · 112 · 139 · 194 |
Discriminant |
Eigenvalues |
2- -1 1 3 11+ 13+ 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-235505,51952233] |
[a1,a2,a3,a4,a6] |
j |
-299270638153369/69288287354 |
j-invariant |
L |
4.6460636045282 |
L(r)(E,1)/r! |
Ω |
0.29037897376839 |
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 |
5434g1 |
Quadratic twists by: 13 |