Atkin-Lehner |
2- 13+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
85696bu |
Isogeny class |
Conductor |
85696 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-2447563456 = -1 · 26 · 135 · 103 |
Discriminant |
Eigenvalues |
2- 0 -3 -2 4 13+ 7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-134,2454] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:33:1] |
Generators of the group modulo torsion |
j |
-4157747712/38243179 |
j-invariant |
L |
4.0344817279194 |
L(r)(E,1)/r! |
Ω |
1.2384628041908 |
Real period |
R |
3.2576527269344 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999916731 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85696bi1 42848g1 |
Quadratic twists by: -4 8 |