Atkin-Lehner |
2+ 3- 5- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
75240x |
Isogeny class |
Conductor |
75240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
444650342400 = 211 · 37 · 52 · 11 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 11- -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12387,-529666] |
[a1,a2,a3,a4,a6] |
Generators |
[79370:1966932:125] |
Generators of the group modulo torsion |
j |
140787677378/297825 |
j-invariant |
L |
7.8482359739448 |
L(r)(E,1)/r! |
Ω |
0.45259861136229 |
Real period |
R |
8.6701944913254 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998919 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25080j2 |
Quadratic twists by: -3 |