Atkin-Lehner |
3- 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
114873h |
Isogeny class |
Conductor |
114873 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
556800 |
Modular degree for the optimal curve |
Δ |
2217388472973729 = 34 · 11 · 597 |
Discriminant |
Eigenvalues |
-1 3- -2 0 11+ -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-57509,4795704] |
[a1,a2,a3,a4,a6] |
Generators |
[16159:2045812:1] |
Generators of the group modulo torsion |
j |
498677257/52569 |
j-invariant |
L |
3.9753554001026 |
L(r)(E,1)/r! |
Ω |
0.44823082095409 |
Real period |
R |
8.8689917090749 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999127346 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1947e1 |
Quadratic twists by: -59 |