Atkin-Lehner |
2+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
97216bf |
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 |
[1526:3136:1] |
Generators of the group modulo torsion |
j |
-1460474194254993/1736 |
j-invariant |
L |
1.9134522307884 |
L(r)(E,1)/r! |
Ω |
0.39985285492561 |
Real period |
R |
0.59817388200122 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997653843 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97216bw1 3038m1 13888f1 |
Quadratic twists by: -4 8 -7 |