Atkin-Lehner |
2+ 5+ 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
103400h |
Isogeny class |
Conductor |
103400 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
806400 |
Modular degree for the optimal curve |
Δ |
809286621893200 = 24 · 52 · 117 · 473 |
Discriminant |
Eigenvalues |
2+ -3 5+ -4 11- -5 -2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-23830,362545] |
[a1,a2,a3,a4,a6] |
Generators |
[4:517:1] |
Generators of the group modulo torsion |
j |
3741414696437760/2023216554733 |
j-invariant |
L |
1.718541211919 |
L(r)(E,1)/r! |
Ω |
0.43866863635994 |
Real period |
R |
0.093276895265195 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998663075 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103400bm1 |
Quadratic twists by: 5 |