Atkin-Lehner |
2+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
128018j |
Isogeny class |
Conductor |
128018 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
506880 |
Modular degree for the optimal curve |
Δ |
-29029337100544 = -1 · 28 · 118 · 232 |
Discriminant |
Eigenvalues |
2+ -2 2 4 11- 6 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,7015,-126084] |
[a1,a2,a3,a4,a6] |
Generators |
[1848:21260:27] |
Generators of the group modulo torsion |
j |
336743/256 |
j-invariant |
L |
5.2155715956745 |
L(r)(E,1)/r! |
Ω |
0.37041606634213 |
Real period |
R |
7.0401528237057 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000316102 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128018bb1 128018k1 |
Quadratic twists by: -11 -23 |