Atkin-Lehner |
2- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
97216bw |
Isogeny class |
Conductor |
97216 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4423680 |
Modular degree for the optimal curve |
Δ |
-53539940335616 = -1 · 221 · 77 · 31 |
Discriminant |
Eigenvalues |
2- 3 -3 7- 4 4 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7412524,-7767786544] |
[a1,a2,a3,a4,a6] |
Generators |
[129422720511481654320:14517755901886895838964:9812576617986969] |
Generators of the group modulo torsion |
j |
-1460474194254993/1736 |
j-invariant |
L |
11.353903562069 |
L(r)(E,1)/r! |
Ω |
0.045748623442437 |
Real period |
R |
31.022527859104 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97216bf1 24304t1 13888x1 |
Quadratic twists by: -4 8 -7 |