Atkin-Lehner |
2- 7+ 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
45584h |
Isogeny class |
Conductor |
45584 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
14336 |
Modular degree for the optimal curve |
Δ |
-4749488128 = -1 · 212 · 7 · 112 · 372 |
Discriminant |
Eigenvalues |
2- 0 0 7+ 11+ -4 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,85,-3302] |
[a1,a2,a3,a4,a6] |
Generators |
[21:88:1] [346:6438:1] |
Generators of the group modulo torsion |
j |
16581375/1159543 |
j-invariant |
L |
8.6841041711552 |
L(r)(E,1)/r! |
Ω |
0.65365337678878 |
Real period |
R |
3.3213720297057 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2849b1 |
Quadratic twists by: -4 |