Atkin-Lehner |
5+ 7- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
78155d |
Isogeny class |
Conductor |
78155 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-18566633444985395 = -1 · 5 · 712 · 11 · 293 |
Discriminant |
Eigenvalues |
0 -1 5+ 7- 11- 1 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-48771,7772862] |
[a1,a2,a3,a4,a6] |
Generators |
[1370:16803:8] |
Generators of the group modulo torsion |
j |
-109050926104576/157813780355 |
j-invariant |
L |
3.0667918258079 |
L(r)(E,1)/r! |
Ω |
0.34827111902132 |
Real period |
R |
2.2014399541694 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002023 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11165f2 |
Quadratic twists by: -7 |