Atkin-Lehner |
2+ 7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
115192d |
Isogeny class |
Conductor |
115192 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-722484224 = -1 · 210 · 73 · 112 · 17 |
Discriminant |
Eigenvalues |
2+ -1 -1 7+ 11- 4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,224,-196] |
[a1,a2,a3,a4,a6] |
Generators |
[2:16:1] [5:32:1] |
Generators of the group modulo torsion |
j |
9987164/5831 |
j-invariant |
L |
9.1977292805951 |
L(r)(E,1)/r! |
Ω |
0.94638506609846 |
Real period |
R |
4.8594011107967 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999975153 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115192bl1 |
Quadratic twists by: -11 |