Atkin-Lehner |
2+ 3+ 5- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
86730w |
Isogeny class |
Conductor |
86730 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1726272 |
Modular degree for the optimal curve |
Δ |
2867283542269440 = 29 · 318 · 5 · 72 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 6 4 6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-648022,-201039404] |
[a1,a2,a3,a4,a6] |
j |
614183195731557454009/58515990658560 |
j-invariant |
L |
3.0288446594096 |
L(r)(E,1)/r! |
Ω |
0.16826915454205 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86730y1 |
Quadratic twists by: -7 |