Atkin-Lehner |
2- 7+ 11+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
124432g |
Isogeny class |
Conductor |
124432 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
768000 |
Modular degree for the optimal curve |
Δ |
712590950027264 = 212 · 76 · 114 · 101 |
Discriminant |
Eigenvalues |
2- 2 -3 7+ 11+ -5 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-36517,2371149] |
[a1,a2,a3,a4,a6] |
Generators |
[5130:124509:8] |
Generators of the group modulo torsion |
j |
1314803742404608/173972399909 |
j-invariant |
L |
5.0501509797651 |
L(r)(E,1)/r! |
Ω |
0.48916769241771 |
Real period |
R |
2.5809917383626 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997793116 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7777d1 |
Quadratic twists by: -4 |