Atkin-Lehner |
2+ 3+ 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
124608q |
Isogeny class |
Conductor |
124608 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4700160 |
Modular degree for the optimal curve |
Δ |
-7.1993930413727E+20 |
Discriminant |
Eigenvalues |
2+ 3+ -1 -2 11- 4 -5 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2130239,-484859711] |
[a1,a2,a3,a4,a6] |
Generators |
[142655252157:5875981934468:510082399] |
Generators of the group modulo torsion |
j |
4078200565293477839/2746350494908416 |
j-invariant |
L |
3.6483145102589 |
L(r)(E,1)/r! |
Ω |
0.09113782366772 |
Real period |
R |
20.015369927859 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124608cu1 3894m1 |
Quadratic twists by: -4 8 |