Atkin-Lehner |
2+ 3- 7- 29- 31- |
Signs for the Atkin-Lehner involutions |
Class |
37758j |
Isogeny class |
Conductor |
37758 |
Conductor |
∏ cp |
81 |
Product of Tamagawa factors cp |
Δ |
-7530419853642168 = -1 · 23 · 33 · 79 · 29 · 313 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 3 2 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,17604,-4075694] |
[a1,a2,a3,a4,a6] |
Generators |
[500:-11643:1] |
Generators of the group modulo torsion |
j |
603383256695378375/7530419853642168 |
j-invariant |
L |
5.9855618133492 |
L(r)(E,1)/r! |
Ω |
0.20488654790949 |
Real period |
R |
0.36066704041889 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113274bq2 |
Quadratic twists by: -3 |