Atkin-Lehner |
3- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
37479d |
Isogeny class |
Conductor |
37479 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
934541376093 = 34 · 13 · 316 |
Discriminant |
Eigenvalues |
1 3- 2 -4 -4 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-66810,6640963] |
[a1,a2,a3,a4,a6] |
Generators |
[23:2250:1] |
Generators of the group modulo torsion |
j |
37159393753/1053 |
j-invariant |
L |
7.1811699159287 |
L(r)(E,1)/r! |
Ω |
0.82136688431564 |
Real period |
R |
4.3714751915717 |
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 |
112437g4 39a2 |
Quadratic twists by: -3 -31 |