Atkin-Lehner |
2- 3- 7+ 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
119196j |
Isogeny class |
Conductor |
119196 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
198144 |
Modular degree for the optimal curve |
Δ |
6219709738704 = 24 · 36 · 7 · 116 · 43 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 11- -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4896,-54675] |
[a1,a2,a3,a4,a6] |
Generators |
[-57:198:1] |
Generators of the group modulo torsion |
j |
1112757239808/533239861 |
j-invariant |
L |
4.7378700889063 |
L(r)(E,1)/r! |
Ω |
0.59850858578049 |
Real period |
R |
1.3193545234942 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000061016 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13244b1 |
Quadratic twists by: -3 |