Atkin-Lehner |
2- 3+ 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
3894h |
Isogeny class |
Conductor |
3894 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
19008 |
Modular degree for the optimal curve |
Δ |
767526967443456 = 222 · 34 · 11 · 593 |
Discriminant |
Eigenvalues |
2- 3+ 2 2 11+ 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-40922,-2911129] |
[a1,a2,a3,a4,a6] |
j |
7578703708393682593/767526967443456 |
j-invariant |
L |
3.7164607687342 |
L(r)(E,1)/r! |
Ω |
0.33786006988493 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31152bg1 124608bu1 11682k1 97350t1 |
Quadratic twists by: -4 8 -3 5 |