Atkin-Lehner |
2+ 3- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
5472h |
Isogeny class |
Conductor |
5472 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-7393591996416 = -1 · 212 · 36 · 195 |
Discriminant |
Eigenvalues |
2+ 3- -3 5 -5 -4 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-504,-130896] |
[a1,a2,a3,a4,a6] |
j |
-4741632/2476099 |
j-invariant |
L |
1.336120338811 |
L(r)(E,1)/r! |
Ω |
0.33403008470275 |
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 |
5472o1 10944co1 608b1 103968ck1 |
Quadratic twists by: -4 8 -3 -19 |