Atkin-Lehner |
2- 3- 19+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
21204a |
Isogeny class |
Conductor |
21204 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
760320 |
Modular degree for the optimal curve |
Δ |
-1.6724237034404E+21 |
Discriminant |
Eigenvalues |
2- 3- 1 -3 1 2 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-783912,-1985627932] |
[a1,a2,a3,a4,a6] |
Generators |
[3343220:546426522:125] |
Generators of the group modulo torsion |
j |
-285468475869159424/8961461030952099 |
j-invariant |
L |
4.8973528840539 |
L(r)(E,1)/r! |
Ω |
0.065092573229278 |
Real period |
R |
6.269728174677 |
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 |
84816u1 7068a1 |
Quadratic twists by: -4 -3 |