Atkin-Lehner |
2- 3+ 5- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
112710cf |
Isogeny class |
Conductor |
112710 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
6345216 |
Modular degree for the optimal curve |
Δ |
-2.8700818123376E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -1 13- 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-14617915,21507229145] |
[a1,a2,a3,a4,a6] |
j |
-171352638803089/14236560 |
j-invariant |
L |
4.8082581225809 |
L(r)(E,1)/r! |
Ω |
0.20034409691457 |
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 |
112710cw1 |
Quadratic twists by: 17 |