Atkin-Lehner |
3+ 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
12495f |
Isogeny class |
Conductor |
12495 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-180555729120375 = -1 · 3 · 53 · 78 · 174 |
Discriminant |
Eigenvalues |
1 3+ 5- 7- 0 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,14038,-84489] |
[a1,a2,a3,a4,a6] |
j |
2600176603751/1534698375 |
j-invariant |
L |
2.0034438388693 |
L(r)(E,1)/r! |
Ω |
0.33390730647822 |
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 |
37485u1 62475bt1 1785j1 |
Quadratic twists by: -3 5 -7 |