Atkin-Lehner |
3- 31- 41- |
Signs for the Atkin-Lehner involutions |
Class |
118203k |
Isogeny class |
Conductor |
118203 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
30456463820877 = 33 · 317 · 41 |
Discriminant |
Eigenvalues |
2 3- 0 -2 -4 -1 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-8008,-77423] |
[a1,a2,a3,a4,a6] |
Generators |
[-278:3197:8] [-230:2879:8] |
Generators of the group modulo torsion |
j |
64000000/34317 |
j-invariant |
L |
24.439413651908 |
L(r)(E,1)/r! |
Ω |
0.53693246012684 |
Real period |
R |
3.7930614297595 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999972143 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3813b1 |
Quadratic twists by: -31 |