Atkin-Lehner |
3+ 5+ 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
59925h |
Isogeny class |
Conductor |
59925 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
7104 |
Modular degree for the optimal curve |
Δ |
59925 = 3 · 52 · 17 · 47 |
Discriminant |
Eigenvalues |
-2 3+ 5+ -2 0 0 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-18,-22] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:1:1] |
Generators of the group modulo torsion |
j |
27258880/2397 |
j-invariant |
L |
2.4462515234486 |
L(r)(E,1)/r! |
Ω |
2.320170890397 |
Real period |
R |
1.0543410977777 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999328 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59925v1 |
Quadratic twists by: 5 |