Atkin-Lehner |
2- 3- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
15456s |
Isogeny class |
Conductor |
15456 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
21120 |
Modular degree for the optimal curve |
Δ |
-2512782569472 = -1 · 212 · 3 · 75 · 233 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 3 -4 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-77,-76293] |
[a1,a2,a3,a4,a6] |
j |
-12487168/613472307 |
j-invariant |
L |
3.7129911956418 |
L(r)(E,1)/r! |
Ω |
0.37129911956418 |
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 |
15456j1 30912bo1 46368ba1 108192bh1 |
Quadratic twists by: -4 8 -3 -7 |