Atkin-Lehner |
2+ 7- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
113344bh |
Isogeny class |
Conductor |
113344 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-7341064192 = -1 · 214 · 7 · 112 · 232 |
Discriminant |
Eigenvalues |
2+ 0 4 7- 11+ 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-188,4240] |
[a1,a2,a3,a4,a6] |
Generators |
[30:160:1] |
Generators of the group modulo torsion |
j |
-44851536/448063 |
j-invariant |
L |
10.401376222282 |
L(r)(E,1)/r! |
Ω |
1.128057213901 |
Real period |
R |
2.3051526333101 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999939322 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113344da2 14168j2 |
Quadratic twists by: -4 8 |