Atkin-Lehner |
2- 3- 5- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
37620m |
Isogeny class |
Conductor |
37620 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
2.6356024307652E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11- -4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2588232,-1399486399] |
[a1,a2,a3,a4,a6] |
Generators |
[-644:495:1] |
Generators of the group modulo torsion |
j |
164393941520365256704/22596042787767405 |
j-invariant |
L |
5.3283453632985 |
L(r)(E,1)/r! |
Ω |
0.12011311242991 |
Real period |
R |
3.6967552608709 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12540a1 |
Quadratic twists by: -3 |