Atkin-Lehner |
2- 3- 5+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
96900bh |
Isogeny class |
Conductor |
96900 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
50331071250000 = 24 · 38 · 57 · 17 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 2 0 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-13533,496188] |
[a1,a2,a3,a4,a6] |
Generators |
[3:-675:1] |
Generators of the group modulo torsion |
j |
1096473247744/201324285 |
j-invariant |
L |
6.8225653893927 |
L(r)(E,1)/r! |
Ω |
0.60257705268283 |
Real period |
R |
0.23588149985798 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999985122 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19380e1 |
Quadratic twists by: 5 |