Atkin-Lehner |
2- 3+ 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
78792q |
Isogeny class |
Conductor |
78792 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
127152586016934912 = 210 · 38 · 710 · 67 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- -4 6 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-134864,-8265732] |
[a1,a2,a3,a4,a6] |
Generators |
[398:972:1] |
Generators of the group modulo torsion |
j |
2251784602372/1055448387 |
j-invariant |
L |
3.2597786121724 |
L(r)(E,1)/r! |
Ω |
0.26072119782263 |
Real period |
R |
3.1257322374578 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000249 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11256e3 |
Quadratic twists by: -7 |