Atkin-Lehner |
2+ 3- 5+ 17+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
71910c |
Isogeny class |
Conductor |
71910 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
580795216598388690 = 2 · 311 · 5 · 178 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 0 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5497740,-4960120730] |
[a1,a2,a3,a4,a6] |
j |
25208605394944231631041/796701257336610 |
j-invariant |
L |
0.78875899547019 |
L(r)(E,1)/r! |
Ω |
0.098594871476211 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23970r4 |
Quadratic twists by: -3 |