Atkin-Lehner |
2- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
70a |
Isogeny class |
Conductor |
70 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
120050 = 2 · 52 · 74 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ 4 -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-268,-1619] |
[a1,a2,a3,a4,a6] |
j |
2121328796049/120050 |
j-invariant |
L |
1.1803043465577 |
L(r)(E,1)/r! |
Ω |
1.1803043465577 |
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 |
560d4 2240f3 630e4 350a3 |
Quadratic twists by: -4 8 -3 5 |