Atkin-Lehner |
2+ 3+ 7+ 19+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
37506a |
Isogeny class |
Conductor |
37506 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
25600 |
Modular degree for the optimal curve |
Δ |
-1466559612 = -1 · 22 · 32 · 74 · 192 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ -6 4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,256,1068] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:29:1] |
Generators of the group modulo torsion |
j |
1844124275447/1466559612 |
j-invariant |
L |
3.3964240116741 |
L(r)(E,1)/r! |
Ω |
0.97376709134102 |
Real period |
R |
0.87198059009105 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999968 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
112518bb1 |
Quadratic twists by: -3 |