Atkin-Lehner |
2+ 3- 5- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
78120l |
Isogeny class |
Conductor |
78120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
25108392960 = 210 · 36 · 5 · 7 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 2 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6627,-207506] |
[a1,a2,a3,a4,a6] |
Generators |
[210:2768:1] |
Generators of the group modulo torsion |
j |
43116861316/33635 |
j-invariant |
L |
5.8727217151048 |
L(r)(E,1)/r! |
Ω |
0.52916443707426 |
Real period |
R |
5.5490517733854 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999986141 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8680l2 |
Quadratic twists by: -3 |