Atkin-Lehner |
3- 5+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
12915n |
Isogeny class |
Conductor |
12915 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
59904 |
Modular degree for the optimal curve |
Δ |
-2373577398675 = -1 · 39 · 52 · 76 · 41 |
Discriminant |
Eigenvalues |
2 3- 5+ 7- -3 -4 -1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-88833,-10191101] |
[a1,a2,a3,a4,a6] |
j |
-106345513067032576/3255936075 |
j-invariant |
L |
3.3184587283219 |
L(r)(E,1)/r! |
Ω |
0.13826911368008 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4305e1 64575w1 90405bo1 |
Quadratic twists by: -3 5 -7 |