Atkin-Lehner |
2+ 3- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
37296o |
Isogeny class |
Conductor |
37296 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-149062834545408 = -1 · 28 · 311 · 74 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ -4 2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,6225,-556162] |
[a1,a2,a3,a4,a6] |
Generators |
[133:1620:1] |
Generators of the group modulo torsion |
j |
142946750000/798733467 |
j-invariant |
L |
4.8900664916622 |
L(r)(E,1)/r! |
Ω |
0.29016523385197 |
Real period |
R |
2.1065870068005 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18648o2 12432d2 |
Quadratic twists by: -4 -3 |