Atkin-Lehner |
3+ 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
12495h |
Isogeny class |
Conductor |
12495 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-78751299375 = -1 · 32 · 54 · 77 · 17 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7- 0 6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,685,-11320] |
[a1,a2,a3,a4,a6] |
j |
302111711/669375 |
j-invariant |
L |
1.1264089311016 |
L(r)(E,1)/r! |
Ω |
0.56320446555079 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
37485s1 62475bs1 1785k1 |
Quadratic twists by: -3 5 -7 |