Atkin-Lehner |
3- 7+ 17- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
71757j |
Isogeny class |
Conductor |
71757 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
178560 |
Modular degree for the optimal curve |
Δ |
-4786692979131 = -1 · 36 · 78 · 17 · 67 |
Discriminant |
Eigenvalues |
-2 3- -2 7+ 5 4 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,4209,5796] |
[a1,a2,a3,a4,a6] |
Generators |
[912:27611:1] |
Generators of the group modulo torsion |
j |
11311832379392/6566108339 |
j-invariant |
L |
2.7421434181858 |
L(r)(E,1)/r! |
Ω |
0.46362411564661 |
Real period |
R |
2.9572916133305 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001119 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7973a1 |
Quadratic twists by: -3 |