Atkin-Lehner |
2- 3- 5- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
37620n |
Isogeny class |
Conductor |
37620 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1269504 |
Modular degree for the optimal curve |
Δ |
-1.3713332252291E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11- 5 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,993768,414780244] |
[a1,a2,a3,a4,a6] |
Generators |
[90994:9743085:8] |
Generators of the group modulo torsion |
j |
581582383072403456/734810755974075 |
j-invariant |
L |
6.0983020830224 |
L(r)(E,1)/r! |
Ω |
0.1237038830687 |
Real period |
R |
2.0540658370828 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12540i1 |
Quadratic twists by: -3 |