Atkin-Lehner |
2- 3- 5+ 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
12390s |
Isogeny class |
Conductor |
12390 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
29184 |
Modular degree for the optimal curve |
Δ |
-1115100000000 = -1 · 28 · 33 · 58 · 7 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 4 -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3101,-83919] |
[a1,a2,a3,a4,a6] |
j |
-3297902135604049/1115100000000 |
j-invariant |
L |
3.7740447028816 |
L(r)(E,1)/r! |
Ω |
0.31450372524013 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99120bo1 37170k1 61950g1 86730cd1 |
Quadratic twists by: -4 -3 5 -7 |