Atkin-Lehner |
2- 3- 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
98394bp |
Isogeny class |
Conductor |
98394 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
912384 |
Modular degree for the optimal curve |
Δ |
11672940130873344 = 212 · 33 · 237 · 31 |
Discriminant |
Eigenvalues |
2- 3- 1 3 -3 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-177755,-28388271] |
[a1,a2,a3,a4,a6] |
Generators |
[550:6073:1] |
Generators of the group modulo torsion |
j |
4195872914689/78852096 |
j-invariant |
L |
15.553184394698 |
L(r)(E,1)/r! |
Ω |
0.23277681050542 |
Real period |
R |
0.46399907516954 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015531 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4278p1 |
Quadratic twists by: -23 |