Atkin-Lehner |
5+ 19+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
37525d |
Isogeny class |
Conductor |
37525 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
16896 |
Modular degree for the optimal curve |
Δ |
-2228046875 = -1 · 57 · 192 · 79 |
Discriminant |
Eigenvalues |
-2 -1 5+ 1 -3 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,242,-1832] |
[a1,a2,a3,a4,a6] |
Generators |
[7:12:1] [37:237:1] |
Generators of the group modulo torsion |
j |
99897344/142595 |
j-invariant |
L |
3.8286745601032 |
L(r)(E,1)/r! |
Ω |
0.77552091599867 |
Real period |
R |
0.61711336230896 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7505d1 |
Quadratic twists by: 5 |