Atkin-Lehner |
2- 5- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
12950t |
Isogeny class |
Conductor |
12950 |
Conductor |
∏ cp |
126 |
Product of Tamagawa factors cp |
deg |
22176 |
Modular degree for the optimal curve |
Δ |
-3326869504000 = -1 · 221 · 53 · 73 · 37 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 0 1 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-19570,1062257] |
[a1,a2,a3,a4,a6] |
Generators |
[89:-185:1] |
Generators of the group modulo torsion |
j |
-6630791484555909/26614956032 |
j-invariant |
L |
7.0590354815195 |
L(r)(E,1)/r! |
Ω |
0.79826390831733 |
Real period |
R |
0.070182417793715 |
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 |
103600by1 116550ct1 12950f1 90650de1 |
Quadratic twists by: -4 -3 5 -7 |