Atkin-Lehner |
2+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
62192g |
Isogeny class |
Conductor |
62192 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-12935936 = -1 · 28 · 133 · 23 |
Discriminant |
Eigenvalues |
2+ 1 -3 0 3 13- -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-17,-181] |
[a1,a2,a3,a4,a6] |
Generators |
[58:91:8] |
Generators of the group modulo torsion |
j |
-1024/23 |
j-invariant |
L |
4.9581837397012 |
L(r)(E,1)/r! |
Ω |
0.96987583379176 |
Real period |
R |
2.5560920104964 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996852 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31096c1 62192f1 |
Quadratic twists by: -4 13 |