Atkin-Lehner |
2+ 7- 13- 73- |
Signs for the Atkin-Lehner involutions |
Class |
93002j |
Isogeny class |
Conductor |
93002 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
-1072276045204 = -1 · 22 · 710 · 13 · 73 |
Discriminant |
Eigenvalues |
2+ 2 3 7- 0 13- 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-9041,-338407] |
[a1,a2,a3,a4,a6] |
j |
-694800198793/9114196 |
j-invariant |
L |
3.9137237553589 |
L(r)(E,1)/r! |
Ω |
0.24460772772939 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13286f1 |
Quadratic twists by: -7 |