Atkin-Lehner |
3- 7+ 17- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
71757i |
Isogeny class |
Conductor |
71757 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
100800 |
Modular degree for the optimal curve |
Δ |
-576157547259 = -1 · 36 · 74 · 173 · 67 |
Discriminant |
Eigenvalues |
-2 3- 2 7+ 3 0 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,261,-36484] |
[a1,a2,a3,a4,a6] |
Generators |
[163:2082:1] |
Generators of the group modulo torsion |
j |
2697228288/790339571 |
j-invariant |
L |
3.5812615751958 |
L(r)(E,1)/r! |
Ω |
0.43190098001285 |
Real period |
R |
1.3819763246083 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004129 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7973b1 |
Quadratic twists by: -3 |