Atkin-Lehner |
2- 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
114950cm |
Isogeny class |
Conductor |
114950 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
4233600 |
Modular degree for the optimal curve |
Δ |
-1.8943302607618E+20 |
Discriminant |
Eigenvalues |
2- -2 5+ -3 11- 0 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,1248052,-387840848] |
[a1,a2,a3,a4,a6] |
Generators |
[748:30680:1] |
Generators of the group modulo torsion |
j |
4854288821119295/4277200188448 |
j-invariant |
L |
6.4342325263943 |
L(r)(E,1)/r! |
Ω |
0.098654416536905 |
Real period |
R |
6.5219913467084 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000025973 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114950bo1 10450i1 |
Quadratic twists by: 5 -11 |