Atkin-Lehner |
2- 3- 5- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
37050cq |
Isogeny class |
Conductor |
37050 |
Conductor |
∏ cp |
2288 |
Product of Tamagawa factors cp |
deg |
4173312 |
Modular degree for the optimal curve |
Δ |
-3.2728402730234E+22 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 6 13- -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1810328,-8754529728] |
[a1,a2,a3,a4,a6] |
Generators |
[2992:-113816:1] |
Generators of the group modulo torsion |
j |
-5249108139346023844949/261827221841869012992 |
j-invariant |
L |
10.940047726733 |
L(r)(E,1)/r! |
Ω |
0.05119696142082 |
Real period |
R |
0.373576029386 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111150cm1 37050n1 |
Quadratic twists by: -3 5 |