Atkin-Lehner |
2- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
37856o |
Isogeny class |
Conductor |
37856 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
2558131541056 = 26 · 72 · 138 |
Discriminant |
Eigenvalues |
2- 0 2 7- 4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10309,-395460] |
[a1,a2,a3,a4,a6] |
Generators |
[480754395:25826706612:166375] |
Generators of the group modulo torsion |
j |
392223168/8281 |
j-invariant |
L |
6.9662368934245 |
L(r)(E,1)/r! |
Ω |
0.47440917399237 |
Real period |
R |
14.684026522509 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
37856a1 75712ba2 2912a1 |
Quadratic twists by: -4 8 13 |