Atkin-Lehner |
2+ 3+ 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
85200n |
Isogeny class |
Conductor |
85200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
19968 |
Modular degree for the optimal curve |
Δ |
5452800 = 210 · 3 · 52 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 -3 -2 -5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-48,-48] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:8:1] [-2:6:1] |
Generators of the group modulo torsion |
j |
487780/213 |
j-invariant |
L |
7.7593577144034 |
L(r)(E,1)/r! |
Ω |
1.8844988580871 |
Real period |
R |
1.029366200083 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999539 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42600f1 85200bj1 |
Quadratic twists by: -4 5 |