Atkin-Lehner |
2- 11+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
56848g |
Isogeny class |
Conductor |
56848 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
576000 |
Modular degree for the optimal curve |
Δ |
-490413845098496 = -1 · 212 · 11 · 174 · 194 |
Discriminant |
Eigenvalues |
2- 1 -3 -2 11+ 4 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1184037,-496298221] |
[a1,a2,a3,a4,a6] |
j |
-44818771954214268928/119729942651 |
j-invariant |
L |
1.1578388599904 |
L(r)(E,1)/r! |
Ω |
0.072364929004517 |
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 |
3553c1 |
Quadratic twists by: -4 |