Atkin-Lehner |
3+ 5- 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
59925m |
Isogeny class |
Conductor |
59925 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
-1498125 = -1 · 3 · 54 · 17 · 47 |
Discriminant |
Eigenvalues |
-1 3+ 5- -3 -3 0 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-13,56] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:7:1] [0:7:1] |
Generators of the group modulo torsion |
j |
-390625/2397 |
j-invariant |
L |
4.9076199863441 |
L(r)(E,1)/r! |
Ω |
2.3164552868835 |
Real period |
R |
0.70619680770063 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000018 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59925o1 |
Quadratic twists by: 5 |