Atkin-Lehner |
3- 7+ 13+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
28119a |
Isogeny class |
Conductor |
28119 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
38016 |
Modular degree for the optimal curve |
Δ |
-513063238779 = -1 · 312 · 7 · 13 · 1032 |
Discriminant |
Eigenvalues |
0 3- 3 7+ 0 13+ -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-4319,113129] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:463:1] |
Generators of the group modulo torsion |
j |
-8911973260951552/513063238779 |
j-invariant |
L |
6.519460396766 |
L(r)(E,1)/r! |
Ω |
0.91582795215319 |
Real period |
R |
0.29661049606525 |
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 |
84357b1 |
Quadratic twists by: -3 |