Atkin-Lehner |
2+ 3- 5+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
61050ba |
Isogeny class |
Conductor |
61050 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1455899414062500 = 22 · 32 · 512 · 112 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-80026,-8524552] |
[a1,a2,a3,a4,a6] |
j |
3627347927618449/93177562500 |
j-invariant |
L |
1.137189739216 |
L(r)(E,1)/r! |
Ω |
0.28429743541308 |
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 |
12210t2 |
Quadratic twists by: 5 |