Atkin-Lehner |
2+ 5+ 17- 79- |
Signs for the Atkin-Lehner involutions |
Class |
67150d |
Isogeny class |
Conductor |
67150 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
628992 |
Modular degree for the optimal curve |
Δ |
-406980657152000000 = -1 · 226 · 56 · 173 · 79 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 -2 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,133883,-24252459] |
[a1,a2,a3,a4,a6] |
Generators |
[66295:1715617:125] |
Generators of the group modulo torsion |
j |
16985493417441375/26046762057728 |
j-invariant |
L |
3.7885575415767 |
L(r)(E,1)/r! |
Ω |
0.15824199157988 |
Real period |
R |
7.9805145347655 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000036 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2686b1 |
Quadratic twists by: 5 |