Atkin-Lehner |
2- 3+ 5- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
77520bt |
Isogeny class |
Conductor |
77520 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
185331194265600 = 227 · 32 · 52 · 17 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 -4 4 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17160295760,-865231646111808] |
[a1,a2,a3,a4,a6] |
j |
136438856304351209695656244409041/45246873600 |
j-invariant |
L |
0.10552573185579 |
L(r)(E,1)/r! |
Ω |
0.013190715773691 |
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 |
9690t2 |
Quadratic twists by: -4 |