Atkin-Lehner |
2- 7- 19- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
8246g |
Isogeny class |
Conductor |
8246 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
19008 |
Modular degree for the optimal curve |
Δ |
-154177243136 = -1 · 211 · 7 · 192 · 313 |
Discriminant |
Eigenvalues |
2- 3 1 7- -2 4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1572,-30137] |
[a1,a2,a3,a4,a6] |
j |
-429360718991121/154177243136 |
j-invariant |
L |
8.1931130888188 |
L(r)(E,1)/r! |
Ω |
0.37241423130995 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65968l1 74214l1 57722r1 |
Quadratic twists by: -4 -3 -7 |