Atkin-Lehner |
2+ 3- 7- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
118482bu |
Isogeny class |
Conductor |
118482 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
2465915949059472 = 24 · 36 · 79 · 132 · 31 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 2 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-33787,72566] |
[a1,a2,a3,a4,a6] |
Generators |
[-122:1604:1] |
Generators of the group modulo torsion |
j |
36254831403673/20959939728 |
j-invariant |
L |
5.5858042372457 |
L(r)(E,1)/r! |
Ω |
0.38843622362739 |
Real period |
R |
0.5991764679387 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999452639 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16926b1 |
Quadratic twists by: -7 |