Atkin-Lehner |
2+ 3- 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
78120d |
Isogeny class |
Conductor |
78120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
316622911456696320 = 211 · 314 · 5 · 7 · 314 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-246963,-38711122] |
[a1,a2,a3,a4,a6] |
Generators |
[192043946:-15372074486:29791] |
Generators of the group modulo torsion |
j |
1115737186324322/212072744835 |
j-invariant |
L |
6.8052451796836 |
L(r)(E,1)/r! |
Ω |
0.21698444193047 |
Real period |
R |
15.681412728878 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000543 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26040p3 |
Quadratic twists by: -3 |