Atkin-Lehner |
2- 3- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
21312bs |
Isogeny class |
Conductor |
21312 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
15030873586925568 = 220 · 318 · 37 |
Discriminant |
Eigenvalues |
2- 3- 2 0 4 -6 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-463404,-121275952] |
[a1,a2,a3,a4,a6] |
Generators |
[-29383962800:11013722588:76765625] |
Generators of the group modulo torsion |
j |
57588477431113/78653268 |
j-invariant |
L |
6.03512231669 |
L(r)(E,1)/r! |
Ω |
0.18299753088978 |
Real period |
R |
16.489627721603 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21312m4 5328v3 7104m4 |
Quadratic twists by: -4 8 -3 |