Atkin-Lehner |
5- 7- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
78155i |
Isogeny class |
Conductor |
78155 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
333912402919624375 = 54 · 712 · 113 · 29 |
Discriminant |
Eigenvalues |
-1 0 5- 7- 11+ 4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10078452,12317613704] |
[a1,a2,a3,a4,a6] |
Generators |
[-2371:152448:1] |
Generators of the group modulo torsion |
j |
962314272240090132609/2838208594375 |
j-invariant |
L |
3.7466859048743 |
L(r)(E,1)/r! |
Ω |
0.26488042199477 |
Real period |
R |
3.5362050139492 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999985444 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11165a2 |
Quadratic twists by: -7 |