Atkin-Lehner |
19- 79- |
Signs for the Atkin-Lehner involutions |
Class |
28519a |
Isogeny class |
Conductor |
28519 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
3716624599 = 196 · 79 |
Discriminant |
Eigenvalues |
1 1 -3 -1 -2 -3 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-730,-7055] |
[a1,a2,a3,a4,a6] |
Generators |
[-501:598:27] |
Generators of the group modulo torsion |
j |
912673/79 |
j-invariant |
L |
4.0359326032702 |
L(r)(E,1)/r! |
Ω |
0.92369912491797 |
Real period |
R |
2.1846575873008 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79a1 |
Quadratic twists by: -19 |