Atkin-Lehner |
2+ 3+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
71400n |
Isogeny class |
Conductor |
71400 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
459191250000 = 24 · 32 · 57 · 74 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6783,214812] |
[a1,a2,a3,a4,a6] |
Generators |
[-88:350:1] |
Generators of the group modulo torsion |
j |
138074404864/1836765 |
j-invariant |
L |
5.4774713679204 |
L(r)(E,1)/r! |
Ω |
0.93995463049484 |
Real period |
R |
1.4568446152094 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000019 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
14280bq1 |
Quadratic twists by: 5 |