Atkin-Lehner |
2+ 3- 5- 61- |
Signs for the Atkin-Lehner involutions |
Class |
14640p |
Isogeny class |
Conductor |
14640 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4096 |
Modular degree for the optimal curve |
Δ |
-4465200 = -1 · 24 · 3 · 52 · 612 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 6 -6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,5,-100] |
[a1,a2,a3,a4,a6] |
j |
702464/279075 |
j-invariant |
L |
4.5955474092574 |
L(r)(E,1)/r! |
Ω |
1.1488868523144 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7320o1 58560cg1 43920n1 73200q1 |
Quadratic twists by: -4 8 -3 5 |