Atkin-Lehner |
2- 5+ 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
10010s |
Isogeny class |
Conductor |
10010 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
5934929000000 = 26 · 56 · 73 · 113 · 13 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 11+ 13- 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-123311,-16676615] |
[a1,a2,a3,a4,a6] |
j |
207362104287019679089/5934929000000 |
j-invariant |
L |
2.2929381314372 |
L(r)(E,1)/r! |
Ω |
0.25477090349302 |
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 |
80080x3 90090ce3 50050e3 70070bz3 |
Quadratic twists by: -4 -3 5 -7 |