Atkin-Lehner |
2- 5- 11- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
78320bm |
Isogeny class |
Conductor |
78320 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
353280 |
Modular degree for the optimal curve |
Δ |
379590558050000 = 24 · 55 · 112 · 894 |
Discriminant |
Eigenvalues |
2- -2 5- 4 11- -4 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-30085,1766358] |
[a1,a2,a3,a4,a6] |
j |
188221058943287296/23724409878125 |
j-invariant |
L |
2.5818222507216 |
L(r)(E,1)/r! |
Ω |
0.51636445710557 |
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 |
19580a1 |
Quadratic twists by: -4 |