Atkin-Lehner |
2+ 5+ 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
87400b |
Isogeny class |
Conductor |
87400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
497745420980000000 = 28 · 57 · 196 · 232 |
Discriminant |
Eigenvalues |
2+ -2 5+ 4 4 4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-295508,51581488] |
[a1,a2,a3,a4,a6] |
Generators |
[1048:29900:1] |
Generators of the group modulo torsion |
j |
713465402834896/124436355245 |
j-invariant |
L |
6.2119233108485 |
L(r)(E,1)/r! |
Ω |
0.28054369192621 |
Real period |
R |
2.7678056412749 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009254 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17480d2 |
Quadratic twists by: 5 |