Atkin-Lehner |
2- 7+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
35728s |
Isogeny class |
Conductor |
35728 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-2987715985408 = -1 · 222 · 7 · 112 · 292 |
Discriminant |
Eigenvalues |
2- 0 0 7+ 11- -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,85,83162] |
[a1,a2,a3,a4,a6] |
Generators |
[7:290:1] |
Generators of the group modulo torsion |
j |
16581375/729422848 |
j-invariant |
L |
4.7330703172182 |
L(r)(E,1)/r! |
Ω |
0.63379260391736 |
Real period |
R |
1.8669633757019 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4466c1 |
Quadratic twists by: -4 |