Atkin-Lehner |
2+ 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
770c |
Isogeny class |
Conductor |
770 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
45393906250000 = 24 · 510 · 74 · 112 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ 11+ 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-204169,-35456067] |
[a1,a2,a3,a4,a6] |
j |
941226862950447171561/45393906250000 |
j-invariant |
L |
1.122983216684 |
L(r)(E,1)/r! |
Ω |
0.2245966433368 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6160p2 24640e2 6930y2 3850s2 |
Quadratic twists by: -4 8 -3 5 |