Atkin-Lehner |
2- 3+ 5+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
77700b |
Isogeny class |
Conductor |
77700 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-625463244000000 = -1 · 28 · 32 · 56 · 73 · 373 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 3 1 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,16067,-918263] |
[a1,a2,a3,a4,a6] |
j |
114667692032/156365811 |
j-invariant |
L |
1.6402784782798 |
L(r)(E,1)/r! |
Ω |
0.27337975243789 |
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 |
3108j2 |
Quadratic twists by: 5 |