Atkin-Lehner |
5- 7- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
11305i |
Isogeny class |
Conductor |
11305 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
3360 |
Modular degree for the optimal curve |
Δ |
-346215625 = -1 · 55 · 73 · 17 · 19 |
Discriminant |
Eigenvalues |
-1 -2 5- 7- -3 -2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,85,850] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:20:1] |
Generators of the group modulo torsion |
j |
67867385039/346215625 |
j-invariant |
L |
1.838241288629 |
L(r)(E,1)/r! |
Ω |
1.227620358849 |
Real period |
R |
0.099826805867605 |
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 |
101745t1 56525h1 79135g1 |
Quadratic twists by: -3 5 -7 |