Atkin-Lehner |
5+ 7+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
112385a |
Isogeny class |
Conductor |
112385 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
274176 |
Modular degree for the optimal curve |
Δ |
-195828395536865 = -1 · 5 · 7 · 138 · 193 |
Discriminant |
Eigenvalues |
1 -1 5+ 7+ 2 13+ 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,14362,126313] |
[a1,a2,a3,a4,a6] |
Generators |
[1704:29803:27] |
Generators of the group modulo torsion |
j |
67867385039/40570985 |
j-invariant |
L |
5.0337727205902 |
L(r)(E,1)/r! |
Ω |
0.34599226659857 |
Real period |
R |
7.2744006293971 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999935791 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8645b1 |
Quadratic twists by: 13 |