Atkin-Lehner |
3+ 11+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
123981a |
Isogeny class |
Conductor |
123981 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1135872 |
Modular degree for the optimal curve |
Δ |
-55402002729744957 = -1 · 33 · 113 · 13 · 179 |
Discriminant |
Eigenvalues |
-1 3+ 2 3 11+ 13+ 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,76868,-7775542] |
[a1,a2,a3,a4,a6] |
Generators |
[1956168752:23065322762:18191447] |
Generators of the group modulo torsion |
j |
423564751/467181 |
j-invariant |
L |
4.8456717765088 |
L(r)(E,1)/r! |
Ω |
0.19082082639231 |
Real period |
R |
12.696915498372 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999183677 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123981r1 |
Quadratic twists by: 17 |