Atkin-Lehner |
2- 3- 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
3480s |
Isogeny class |
Conductor |
3480 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
8456400 = 24 · 36 · 52 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -4 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-176175,28403298] |
[a1,a2,a3,a4,a6] |
Generators |
[291:1365:1] |
Generators of the group modulo torsion |
j |
37795407757392787456/528525 |
j-invariant |
L |
4.1815082216325 |
L(r)(E,1)/r! |
Ω |
1.1831396016423 |
Real period |
R |
2.3561650238783 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6960j1 27840d1 10440d1 17400d1 |
Quadratic twists by: -4 8 -3 5 |