Atkin-Lehner |
3- 5+ 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
4935f |
Isogeny class |
Conductor |
4935 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
21600 |
Modular degree for the optimal curve |
Δ |
-38255888671875 = -1 · 35 · 510 · 73 · 47 |
Discriminant |
Eigenvalues |
2 3- 5+ 7+ 1 2 -5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1036,-298205] |
[a1,a2,a3,a4,a6] |
Generators |
[4676:9343:64] |
Generators of the group modulo torsion |
j |
-123089813622784/38255888671875 |
j-invariant |
L |
7.7531330180857 |
L(r)(E,1)/r! |
Ω |
0.29014530660803 |
Real period |
R |
2.6721552413597 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78960bn1 14805m1 24675h1 34545m1 |
Quadratic twists by: -4 -3 5 -7 |