Atkin-Lehner |
2- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
97216cb |
Isogeny class |
Conductor |
97216 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
200704 |
Modular degree for the optimal curve |
Δ |
81983033638912 = 216 · 79 · 31 |
Discriminant |
Eigenvalues |
2- 0 -2 7- 4 -2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17836,806736] |
[a1,a2,a3,a4,a6] |
j |
237276/31 |
j-invariant |
L |
1.1720162328212 |
L(r)(E,1)/r! |
Ω |
0.58600815874362 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97216e1 24304f1 97216bl1 |
Quadratic twists by: -4 8 -7 |