Atkin-Lehner |
2- 3+ 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
66270v |
Isogeny class |
Conductor |
66270 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1935360 |
Modular degree for the optimal curve |
Δ |
-905021042162557500 = -1 · 22 · 320 · 54 · 473 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 -2 -2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1849590,968502255] |
[a1,a2,a3,a4,a6] |
j |
-6739948204520897807/8716961002500 |
j-invariant |
L |
2.2348218785657 |
L(r)(E,1)/r! |
Ω |
0.27935273457582 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66270p1 |
Quadratic twists by: -47 |