Atkin-Lehner |
3- 5- 17- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
59925x |
Isogeny class |
Conductor |
59925 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-357710002875 = -1 · 36 · 53 · 174 · 47 |
Discriminant |
Eigenvalues |
-2 3- 5- 0 -4 -1 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,132,-28726] |
[a1,a2,a3,a4,a6] |
Generators |
[42:-230:1] [33:112:1] |
Generators of the group modulo torsion |
j |
2019487744/2861680023 |
j-invariant |
L |
6.1808446031741 |
L(r)(E,1)/r! |
Ω |
0.44503486648574 |
Real period |
R |
0.28934271356443 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999976 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59925j1 |
Quadratic twists by: 5 |