Atkin-Lehner |
2- 5+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
114920l |
Isogeny class |
Conductor |
114920 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
898560 |
Modular degree for the optimal curve |
Δ |
41038694730475520 = 211 · 5 · 138 · 173 |
Discriminant |
Eigenvalues |
2- 2 5+ 3 -3 13+ 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-114976,11447916] |
[a1,a2,a3,a4,a6] |
Generators |
[789:20280:1] |
Generators of the group modulo torsion |
j |
100617218/24565 |
j-invariant |
L |
10.231691587893 |
L(r)(E,1)/r! |
Ω |
0.3401310160228 |
Real period |
R |
3.3424020852785 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000032146 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114920h1 |
Quadratic twists by: 13 |