Atkin-Lehner |
2- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
6992t |
Isogeny class |
Conductor |
6992 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
1292345344 = 213 · 193 · 23 |
Discriminant |
Eigenvalues |
2- -3 1 -2 1 -2 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-307,1138] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:38:1] |
Generators of the group modulo torsion |
j |
781229961/315514 |
j-invariant |
L |
2.4118412791333 |
L(r)(E,1)/r! |
Ω |
1.3871574800404 |
Real period |
R |
0.28978220015114 |
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 |
874a1 27968bh1 62928bm1 |
Quadratic twists by: -4 8 -3 |