Atkin-Lehner |
2- 3- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
80688ba |
Isogeny class |
Conductor |
80688 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
15120 |
Modular degree for the optimal curve |
Δ |
-1291008 = -1 · 28 · 3 · 412 |
Discriminant |
Eigenvalues |
2- 3- -2 1 -4 -5 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-109,407] |
[a1,a2,a3,a4,a6] |
Generators |
[7:6:1] |
Generators of the group modulo torsion |
j |
-335872/3 |
j-invariant |
L |
5.4041855619126 |
L(r)(E,1)/r! |
Ω |
2.7319481403773 |
Real period |
R |
0.9890717691029 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002428 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20172b1 80688s1 |
Quadratic twists by: -4 41 |