Atkin-Lehner |
7- 31- 61- |
Signs for the Atkin-Lehner involutions |
Class |
92659h |
Isogeny class |
Conductor |
92659 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
237600 |
Modular degree for the optimal curve |
Δ |
-6627730649869 = -1 · 76 · 314 · 61 |
Discriminant |
Eigenvalues |
1 -2 3 7- -3 -5 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,4433,49683] |
[a1,a2,a3,a4,a6] |
j |
81916141607/56334781 |
j-invariant |
L |
1.8937788885201 |
L(r)(E,1)/r! |
Ω |
0.47344476247353 |
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 |
1891a1 |
Quadratic twists by: -7 |