Atkin-Lehner |
2- 3+ 5+ 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
65790bk |
Isogeny class |
Conductor |
65790 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
36288 |
Modular degree for the optimal curve |
Δ |
-1459748520 = -1 · 23 · 33 · 5 · 17 · 433 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 -3 5 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,127,1721] |
[a1,a2,a3,a4,a6] |
Generators |
[177:2266:1] |
Generators of the group modulo torsion |
j |
8452264653/54064760 |
j-invariant |
L |
9.2371344093243 |
L(r)(E,1)/r! |
Ω |
1.0972432248443 |
Real period |
R |
4.2092465005243 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000568 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
65790n2 |
Quadratic twists by: -3 |