Atkin-Lehner |
19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
10469c |
Isogeny class |
Conductor |
10469 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-751746132499 = -1 · 197 · 292 |
Discriminant |
Eigenvalues |
2 2 -1 -1 1 -2 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-41996,-3298835] |
[a1,a2,a3,a4,a6] |
j |
-174115016704/15979 |
j-invariant |
L |
6.002979012718 |
L(r)(E,1)/r! |
Ω |
0.16674941701994 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94221p1 551d1 |
Quadratic twists by: -3 -19 |