Atkin-Lehner |
2+ 3- 5+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
15450n |
Isogeny class |
Conductor |
15450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-370800 = -1 · 24 · 32 · 52 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -5 6 -3 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-691,-7042] |
[a1,a2,a3,a4,a6] |
j |
-1456511980945/14832 |
j-invariant |
L |
1.8626664341011 |
L(r)(E,1)/r! |
Ω |
0.46566660852528 |
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 |
123600bh1 46350by1 15450bc1 |
Quadratic twists by: -4 -3 5 |