Atkin-Lehner |
2- 5- 19- 71- |
Signs for the Atkin-Lehner involutions |
Class |
67450u |
Isogeny class |
Conductor |
67450 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
50400 |
Modular degree for the optimal curve |
Δ |
-4215625000 = -1 · 23 · 58 · 19 · 71 |
Discriminant |
Eigenvalues |
2- -2 5- 1 4 -4 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-638,6892] |
[a1,a2,a3,a4,a6] |
Generators |
[2:74:1] |
Generators of the group modulo torsion |
j |
-73530625/10792 |
j-invariant |
L |
7.6493569451535 |
L(r)(E,1)/r! |
Ω |
1.3387470021555 |
Real period |
R |
0.63486868547676 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000201 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67450e1 |
Quadratic twists by: 5 |