Atkin-Lehner |
2+ 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
27200ba |
Isogeny class |
Conductor |
27200 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
599040 |
Modular degree for the optimal curve |
Δ |
-90870848000000000 = -1 · 215 · 59 · 175 |
Discriminant |
Eigenvalues |
2+ 3 5+ 2 4 -1 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-544300,-155242000] |
[a1,a2,a3,a4,a6] |
j |
-34831225434312/177482125 |
j-invariant |
L |
7.0285803185163 |
L(r)(E,1)/r! |
Ω |
0.087857253981449 |
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 |
27200bb1 13600u1 5440g1 |
Quadratic twists by: -4 8 5 |