Atkin-Lehner |
2+ 3- 17+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
20502l |
Isogeny class |
Conductor |
20502 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
373248 |
Modular degree for the optimal curve |
Δ |
2193574696681734144 = 227 · 315 · 17 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 1 -1 3 -3 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1209114,507056436] |
[a1,a2,a3,a4,a6] |
Generators |
[-855:30681:1] |
Generators of the group modulo torsion |
j |
268162555204755930529/3009018788315136 |
j-invariant |
L |
3.995339012368 |
L(r)(E,1)/r! |
Ω |
0.26115321037868 |
Real period |
R |
3.8247079239182 |
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 |
6834u1 |
Quadratic twists by: -3 |