Atkin-Lehner |
2- 3- 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
114996i |
Isogeny class |
Conductor |
114996 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
15759360 |
Modular degree for the optimal curve |
Δ |
3.4753413698011E+22 |
Discriminant |
Eigenvalues |
2- 3- -4 7+ 0 -4 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9037225,-5378693356] |
[a1,a2,a3,a4,a6] |
Generators |
[487978:120372063:8] |
Generators of the group modulo torsion |
j |
1988376942198784/846578321253 |
j-invariant |
L |
5.1336150957437 |
L(r)(E,1)/r! |
Ω |
0.090472239232061 |
Real period |
R |
7.09280427056 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000033905 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3108f1 |
Quadratic twists by: 37 |