Atkin-Lehner |
2- 3- 5+ 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
12390t |
Isogeny class |
Conductor |
12390 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
29376 |
Modular degree for the optimal curve |
Δ |
-2408616000 = -1 · 26 · 36 · 53 · 7 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 3 2 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-39711,3042585] |
[a1,a2,a3,a4,a6] |
j |
-6925591418687384689/2408616000 |
j-invariant |
L |
4.6891978751069 |
L(r)(E,1)/r! |
Ω |
1.1722994687767 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
99120bk1 37170o1 61950b1 86730ce1 |
Quadratic twists by: -4 -3 5 -7 |