Atkin-Lehner |
2- 3+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
107712cy |
Isogeny class |
Conductor |
107712 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
14745600 |
Modular degree for the optimal curve |
Δ |
4.7907183701423E+22 |
Discriminant |
Eigenvalues |
2- 3+ -4 2 11+ 2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-48156012,-128192744880] |
[a1,a2,a3,a4,a6] |
Generators |
[30960:5296860:1] |
Generators of the group modulo torsion |
j |
2393558463315519963/9284733153971 |
j-invariant |
L |
5.1747243860319 |
L(r)(E,1)/r! |
Ω |
0.057324233227847 |
Real period |
R |
5.6419468140959 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999720689 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107712t1 26928bb1 107712da1 |
Quadratic twists by: -4 8 -3 |