Atkin-Lehner |
3- 5- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
67155v |
Isogeny class |
Conductor |
67155 |
Conductor |
∏ cp |
238 |
Product of Tamagawa factors cp |
deg |
3427200 |
Modular degree for the optimal curve |
Δ |
-7.2744787699928E+21 |
Discriminant |
Eigenvalues |
1 3- 5- -2 11- 2 1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2954823,-4545691097] |
[a1,a2,a3,a4,a6] |
Generators |
[3299:145365:1] |
Generators of the group modulo torsion |
j |
-1610503980214409281/4106253620390625 |
j-invariant |
L |
9.7042838881983 |
L(r)(E,1)/r! |
Ω |
0.053585576000005 |
Real period |
R |
0.76091935736085 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993914 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6105k1 |
Quadratic twists by: -11 |