Atkin-Lehner |
2+ 3- 7- 17+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
126378u |
Isogeny class |
Conductor |
126378 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3059712 |
Modular degree for the optimal curve |
Δ |
642673477657570842 = 2 · 38 · 7 · 179 · 59 |
Discriminant |
Eigenvalues |
2+ 3- -4 7- 4 -2 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-764379,254506819] |
[a1,a2,a3,a4,a6] |
j |
67752097456207470769/881582273878698 |
j-invariant |
L |
0.57813005103102 |
L(r)(E,1)/r! |
Ω |
0.28906549291099 |
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 |
42126r1 |
Quadratic twists by: -3 |