Atkin-Lehner |
2+ 5- 7- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
117040r |
Isogeny class |
Conductor |
117040 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
23184210156800 = 28 · 52 · 7 · 11 · 196 |
Discriminant |
Eigenvalues |
2+ 2 5- 7- 11+ -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7980,-144400] |
[a1,a2,a3,a4,a6] |
Generators |
[1266060:33984055:1728] |
Generators of the group modulo torsion |
j |
219556774825936/90563320925 |
j-invariant |
L |
11.33880288951 |
L(r)(E,1)/r! |
Ω |
0.52380658130703 |
Real period |
R |
10.823463563858 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999955364 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58520r2 |
Quadratic twists by: -4 |