Atkin-Lehner |
2+ 5- 23+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
37720g |
Isogeny class |
Conductor |
37720 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
395909120 = 211 · 5 · 23 · 412 |
Discriminant |
Eigenvalues |
2+ -2 5- -2 -2 2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4920,-134480] |
[a1,a2,a3,a4,a6] |
Generators |
[123:1066:1] |
Generators of the group modulo torsion |
j |
6432463586162/193315 |
j-invariant |
L |
3.6961675841897 |
L(r)(E,1)/r! |
Ω |
0.57003524199182 |
Real period |
R |
3.2420518170702 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000000027 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
75440o2 |
Quadratic twists by: -4 |