Atkin-Lehner |
2- 3- 5- 23+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
76590cf |
Isogeny class |
Conductor |
76590 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
139776 |
Modular degree for the optimal curve |
Δ |
-339192218250 = -1 · 2 · 313 · 53 · 23 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 5 -4 -7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1633,11409] |
[a1,a2,a3,a4,a6] |
j |
661003929431/465284250 |
j-invariant |
L |
3.6523482416015 |
L(r)(E,1)/r! |
Ω |
0.6087247042463 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25530c1 |
Quadratic twists by: -3 |