Atkin-Lehner |
5+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
11495c |
Isogeny class |
Conductor |
11495 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
9256406225 = 52 · 117 · 19 |
Discriminant |
Eigenvalues |
1 -2 5+ 2 11- -6 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-729,5927] |
[a1,a2,a3,a4,a6] |
Generators |
[65:451:1] |
Generators of the group modulo torsion |
j |
24137569/5225 |
j-invariant |
L |
3.0910804396658 |
L(r)(E,1)/r! |
Ω |
1.2249570406682 |
Real period |
R |
1.2617097322775 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103455bf1 57475j1 1045a1 |
Quadratic twists by: -3 5 -11 |