Atkin-Lehner |
2+ 3+ 5- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
71760i |
Isogeny class |
Conductor |
71760 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
613826979916800 = 210 · 3 · 52 · 134 · 234 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 -4 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-31400,-1768800] |
[a1,a2,a3,a4,a6] |
j |
3343694036810404/599440410075 |
j-invariant |
L |
1.4522509601222 |
L(r)(E,1)/r! |
Ω |
0.36306274086861 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
35880f3 |
Quadratic twists by: -4 |