Atkin-Lehner |
3+ 7+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
78897a |
Isogeny class |
Conductor |
78897 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
635904 |
Modular degree for the optimal curve |
Δ |
-965521563166251 = -1 · 32 · 7 · 133 · 178 |
Discriminant |
Eigenvalues |
-2 3+ -3 7+ 6 13+ 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-4142,-1497130] |
[a1,a2,a3,a4,a6] |
Generators |
[227:3034:1] |
Generators of the group modulo torsion |
j |
-325660672/40000779 |
j-invariant |
L |
2.0586564925051 |
L(r)(E,1)/r! |
Ω |
0.21973912814052 |
Real period |
R |
2.3421596698297 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999866319 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4641f1 |
Quadratic twists by: 17 |