Atkin-Lehner |
2+ 5- 17- 79- |
Signs for the Atkin-Lehner involutions |
Class |
67150m |
Isogeny class |
Conductor |
67150 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
221760 |
Modular degree for the optimal curve |
Δ |
-48515875000000 = -1 · 26 · 59 · 173 · 79 |
Discriminant |
Eigenvalues |
2+ -2 5- -2 -2 -6 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,3799,-322452] |
[a1,a2,a3,a4,a6] |
Generators |
[51:42:1] [102:-1114:1] |
Generators of the group modulo torsion |
j |
3105745579/24840128 |
j-invariant |
L |
4.7337862600847 |
L(r)(E,1)/r! |
Ω |
0.31538324582023 |
Real period |
R |
1.2508026141843 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999629 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67150s1 |
Quadratic twists by: 5 |