Atkin-Lehner |
2+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
37856a |
Isogeny class |
Conductor |
37856 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-617100039442432 = -1 · 212 · 74 · 137 |
Discriminant |
Eigenvalues |
2+ 0 2 7+ -4 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,676,1195168] |
[a1,a2,a3,a4,a6] |
Generators |
[5629:422331:1] |
Generators of the group modulo torsion |
j |
1728/31213 |
j-invariant |
L |
5.673864144372 |
L(r)(E,1)/r! |
Ω |
0.40582567323063 |
Real period |
R |
3.4952594911031 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37856o2 75712b1 2912e4 |
Quadratic twists by: -4 8 13 |