Atkin-Lehner |
2- 3- 7- 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
70434bn |
Isogeny class |
Conductor |
70434 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
666639118752489792 = 26 · 314 · 72 · 13 · 434 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1984946,1076172657] |
[a1,a2,a3,a4,a6] |
Generators |
[1013:-10713:1] |
Generators of the group modulo torsion |
j |
1186429858270662364633/914456953021248 |
j-invariant |
L |
8.2001999820938 |
L(r)(E,1)/r! |
Ω |
0.28494471359241 |
Real period |
R |
1.19909225533 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996497 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23478g4 |
Quadratic twists by: -3 |