Atkin-Lehner |
2- 3+ 5+ 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
70350bu |
Isogeny class |
Conductor |
70350 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
4122070312500000000 = 28 · 32 · 518 · 7 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-144084938,-665756092969] |
[a1,a2,a3,a4,a6] |
j |
21171880702743068271700441/263812500000000 |
j-invariant |
L |
2.7888482491407 |
L(r)(E,1)/r! |
Ω |
0.043575753845833 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14070f3 |
Quadratic twists by: 5 |