Atkin-Lehner |
2- 3- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
119646cq |
Isogeny class |
Conductor |
119646 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
1395550944 = 25 · 38 · 172 · 23 |
Discriminant |
Eigenvalues |
2- 3- -3 -5 4 0 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1049,13209] |
[a1,a2,a3,a4,a6] |
Generators |
[11:48:1] [-98:1287:8] |
Generators of the group modulo torsion |
j |
605391913/6624 |
j-invariant |
L |
13.274437873852 |
L(r)(E,1)/r! |
Ω |
1.5251447659309 |
Real period |
R |
0.43518615977713 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999985375 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39882e1 119646cu1 |
Quadratic twists by: -3 17 |