Atkin-Lehner |
2+ 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
3720d |
Isogeny class |
Conductor |
3720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
4464000000 = 210 · 32 · 56 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 0 0 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-536,3360] |
[a1,a2,a3,a4,a6] |
Generators |
[4:36:1] |
Generators of the group modulo torsion |
j |
16662038116/4359375 |
j-invariant |
L |
3.8058442957724 |
L(r)(E,1)/r! |
Ω |
1.2892434710846 |
Real period |
R |
1.4759990572497 |
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 |
7440b2 29760t2 11160s2 18600s2 |
Quadratic twists by: -4 8 -3 5 |