Atkin-Lehner |
2+ 3- 17+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
123114h |
Isogeny class |
Conductor |
123114 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
622080 |
Modular degree for the optimal curve |
Δ |
-1279320508283904 = -1 · 210 · 36 · 176 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 2 -2 2 0 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-82805,9324416] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:3622:1] |
Generators of the group modulo torsion |
j |
-2601311308777/53001216 |
j-invariant |
L |
7.3272962498018 |
L(r)(E,1)/r! |
Ω |
0.48390016569729 |
Real period |
R |
2.5236942224914 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999115696 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
426b1 |
Quadratic twists by: 17 |