Atkin-Lehner |
2+ 7+ 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
35728a |
Isogeny class |
Conductor |
35728 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-8935429888 = -1 · 28 · 73 · 112 · 292 |
Discriminant |
Eigenvalues |
2+ 0 -2 7+ 11+ 0 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-311,5014] |
[a1,a2,a3,a4,a6] |
Generators |
[6:58:1] |
Generators of the group modulo torsion |
j |
-12994659792/34904023 |
j-invariant |
L |
3.5453719522009 |
L(r)(E,1)/r! |
Ω |
1.1482171827914 |
Real period |
R |
1.5438594742076 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17864g1 |
Quadratic twists by: -4 |