Atkin-Lehner |
2+ 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
89280bt |
Isogeny class |
Conductor |
89280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
918249799680 = 218 · 36 · 5 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 4 0 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14988,704752] |
[a1,a2,a3,a4,a6] |
Generators |
[264:3892:1] |
Generators of the group modulo torsion |
j |
1948441249/4805 |
j-invariant |
L |
8.5666369274837 |
L(r)(E,1)/r! |
Ω |
0.88676703401373 |
Real period |
R |
4.8302635310855 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999971436 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89280el2 1395e2 9920q2 |
Quadratic twists by: -4 8 -3 |