Atkin-Lehner |
5+ 7+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
101675c |
Isogeny class |
Conductor |
101675 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-11961962075 = -1 · 52 · 78 · 83 |
Discriminant |
Eigenvalues |
-2 -1 5+ 7+ 5 4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,572,-302] |
[a1,a2,a3,a4,a6] |
Generators |
[23:156:1] |
Generators of the group modulo torsion |
j |
143360/83 |
j-invariant |
L |
2.7729827716092 |
L(r)(E,1)/r! |
Ω |
0.75621639341642 |
Real period |
R |
3.6669170087808 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000058679 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101675t1 101675r1 |
Quadratic twists by: 5 -7 |