Atkin-Lehner |
2- 3+ 11+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
70488f |
Isogeny class |
Conductor |
70488 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-3275154432 = -1 · 210 · 33 · 113 · 89 |
Discriminant |
Eigenvalues |
2- 3+ 4 -4 11+ 7 7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,117,2710] |
[a1,a2,a3,a4,a6] |
j |
6406452/118459 |
j-invariant |
L |
4.2203878097483 |
L(r)(E,1)/r! |
Ω |
1.0550969551046 |
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 |
70488a1 |
Quadratic twists by: -3 |