Atkin-Lehner |
2- 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
97344fo |
Isogeny class |
Conductor |
97344 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
688128 |
Modular degree for the optimal curve |
Δ |
-35974285014859776 = -1 · 218 · 37 · 137 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 4 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,46644,-8260720] |
[a1,a2,a3,a4,a6] |
Generators |
[322:6336:1] |
Generators of the group modulo torsion |
j |
12167/39 |
j-invariant |
L |
4.07533675396 |
L(r)(E,1)/r! |
Ω |
0.18720793354477 |
Real period |
R |
2.7211298404721 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999981002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97344cg1 24336bt1 32448ch1 7488bs1 |
Quadratic twists by: -4 8 -3 13 |