Atkin-Lehner |
2+ 3- 5+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
112710y |
Isogeny class |
Conductor |
112710 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
201600 |
Modular degree for the optimal curve |
Δ |
-3943948320 = -1 · 25 · 38 · 5 · 13 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 -4 13+ 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4384,-112114] |
[a1,a2,a3,a4,a6] |
j |
-32232581852761/13646880 |
j-invariant |
L |
2.3468906035299 |
L(r)(E,1)/r! |
Ω |
0.29336125896312 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112710m1 |
Quadratic twists by: 17 |