Atkin-Lehner |
2+ 3+ 5+ 13- 67- |
Signs for the Atkin-Lehner involutions |
Class |
78390b |
Isogeny class |
Conductor |
78390 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
352512 |
Modular degree for the optimal curve |
Δ |
-28545536635200 = -1 · 26 · 33 · 52 · 133 · 673 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 3 13- 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-22830,1358100] |
[a1,a2,a3,a4,a6] |
Generators |
[-140:1410:1] |
Generators of the group modulo torsion |
j |
-48740320745120187/1057242097600 |
j-invariant |
L |
4.4347989913586 |
L(r)(E,1)/r! |
Ω |
0.66393513773767 |
Real period |
R |
0.83494582938616 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999942787 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
78390bj2 |
Quadratic twists by: -3 |