Atkin-Lehner |
3- 7- 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
37107n |
Isogeny class |
Conductor |
37107 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
111531285369 = 38 · 72 · 192 · 312 |
Discriminant |
Eigenvalues |
-1 3- -2 7- -4 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2021,31556] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:223:1] [-24:268:1] |
Generators of the group modulo torsion |
j |
1251680967433/152992161 |
j-invariant |
L |
5.2094741975752 |
L(r)(E,1)/r! |
Ω |
1.0179311615746 |
Real period |
R |
2.5588538764815 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12369j2 |
Quadratic twists by: -3 |