Atkin-Lehner |
3+ 17+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
68493d |
Isogeny class |
Conductor |
68493 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
7877271505581 = 35 · 177 · 79 |
Discriminant |
Eigenvalues |
0 3+ 3 -1 4 2 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-5009,-18028] |
[a1,a2,a3,a4,a6] |
j |
575930368/326349 |
j-invariant |
L |
2.4491883428234 |
L(r)(E,1)/r! |
Ω |
0.61229708661878 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4029b1 |
Quadratic twists by: 17 |