Atkin-Lehner |
2- 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
124992gp |
Isogeny class |
Conductor |
124992 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-7775502336 = -1 · 214 · 37 · 7 · 31 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 0 7 -8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8112,-281248] |
[a1,a2,a3,a4,a6] |
Generators |
[56072:194193:512] |
Generators of the group modulo torsion |
j |
-4942652416/651 |
j-invariant |
L |
7.9182905378988 |
L(r)(E,1)/r! |
Ω |
0.25152672824628 |
Real period |
R |
7.8702276812037 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000077129 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124992be1 31248u1 41664da1 |
Quadratic twists by: -4 8 -3 |