Atkin-Lehner |
2- 3+ 7- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
74256ci |
Isogeny class |
Conductor |
74256 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
783360 |
Modular degree for the optimal curve |
Δ |
156627388414224 = 24 · 317 · 73 · 13 · 17 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- 6 13- 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-775762,-262731881] |
[a1,a2,a3,a4,a6] |
Generators |
[-40361649:1273867:79507] |
Generators of the group modulo torsion |
j |
3226931868649120999168/9789211775889 |
j-invariant |
L |
4.8443421273695 |
L(r)(E,1)/r! |
Ω |
0.16086718474239 |
Real period |
R |
10.037974563496 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003579 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18564m1 |
Quadratic twists by: -4 |