Atkin-Lehner |
2- 3+ 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
45570bs |
Isogeny class |
Conductor |
45570 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
769282918829315100 = 22 · 316 · 52 · 78 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-39703231,-96307798231] |
[a1,a2,a3,a4,a6] |
j |
58831920326276935699681/6538796919900 |
j-invariant |
L |
3.8492229712247 |
L(r)(E,1)/r! |
Ω |
0.060144108921244 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6510z4 |
Quadratic twists by: -7 |