Atkin-Lehner |
2+ 7- 19+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
12502b |
Isogeny class |
Conductor |
12502 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
-100016 = -1 · 24 · 7 · 19 · 47 |
Discriminant |
Eigenvalues |
2+ 1 -3 7- 0 4 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-10,-20] |
[a1,a2,a3,a4,a6] |
Generators |
[5:5:1] |
Generators of the group modulo torsion |
j |
-95443993/100016 |
j-invariant |
L |
3.303296516035 |
L(r)(E,1)/r! |
Ω |
1.3045184325463 |
Real period |
R |
1.2660980610244 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100016n1 112518bg1 87514f1 |
Quadratic twists by: -4 -3 -7 |