Atkin-Lehner |
2+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
128018l |
Isogeny class |
Conductor |
128018 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2090880 |
Modular degree for the optimal curve |
Δ |
-507724920222083344 = -1 · 24 · 118 · 236 |
Discriminant |
Eigenvalues |
2+ -2 3 -2 11- 5 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,190693,12180342] |
[a1,a2,a3,a4,a6] |
Generators |
[-4505:288908:125] |
Generators of the group modulo torsion |
j |
24167/16 |
j-invariant |
L |
4.0678626961972 |
L(r)(E,1)/r! |
Ω |
0.1842568941473 |
Real period |
R |
5.5192815554063 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999678031 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128018bd1 242b1 |
Quadratic twists by: -11 -23 |