Atkin-Lehner |
2+ 3- 7+ 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
84042k |
Isogeny class |
Conductor |
84042 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1720320 |
Modular degree for the optimal curve |
Δ |
11891526194709504 = 210 · 36 · 77 · 23 · 292 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ -4 0 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3554313,2580063245] |
[a1,a2,a3,a4,a6] |
j |
6811821555839776164753/16312107262976 |
j-invariant |
L |
0.69473907837512 |
L(r)(E,1)/r! |
Ω |
0.3473695027266 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9338g1 |
Quadratic twists by: -3 |