Atkin-Lehner |
2+ 5+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
114920b |
Isogeny class |
Conductor |
114920 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
112320 |
Modular degree for the optimal curve |
Δ |
-840250910720 = -1 · 211 · 5 · 136 · 17 |
Discriminant |
Eigenvalues |
2+ -1 5+ -2 -4 13+ 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-56,-44084] |
[a1,a2,a3,a4,a6] |
j |
-2/85 |
j-invariant |
L |
0.4066999591701 |
L(r)(E,1)/r! |
Ω |
0.40670005185419 |
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 |
680b1 |
Quadratic twists by: 13 |