Atkin-Lehner |
2- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
127072o |
Isogeny class |
Conductor |
127072 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1140480 |
Modular degree for the optimal curve |
Δ |
76143570214976 = 26 · 113 · 197 |
Discriminant |
Eigenvalues |
2- 0 2 -2 11+ -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3042869,2043021740] |
[a1,a2,a3,a4,a6] |
Generators |
[5297320:-1089599562:125] |
Generators of the group modulo torsion |
j |
1034836884153792/25289 |
j-invariant |
L |
6.1617020493695 |
L(r)(E,1)/r! |
Ω |
0.44453847689695 |
Real period |
R |
13.860896749803 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000194405 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127072j1 6688a1 |
Quadratic twists by: -4 -19 |