Atkin-Lehner |
5+ 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
71995n |
Isogeny class |
Conductor |
71995 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
36000 |
Modular degree for the optimal curve |
Δ |
-5444621875 = -1 · 55 · 7 · 114 · 17 |
Discriminant |
Eigenvalues |
1 0 5+ 7- 11- -1 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,280,-3129] |
[a1,a2,a3,a4,a6] |
j |
165483351/371875 |
j-invariant |
L |
0.70319790727847 |
L(r)(E,1)/r! |
Ω |
0.70319791498023 |
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 |
71995d1 |
Quadratic twists by: -11 |