Atkin-Lehner |
2- 3- 37- 67- |
Signs for the Atkin-Lehner involutions |
Class |
44622f |
Isogeny class |
Conductor |
44622 |
Conductor |
∏ cp |
1224 |
Product of Tamagawa factors cp |
deg |
186537600 |
Modular degree for the optimal curve |
Δ |
-7.9987366328868E+32 |
Discriminant |
Eigenvalues |
2- 3- 0 -1 3 -1 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-65657750360,-6616961303339941] |
[a1,a2,a3,a4,a6] |
Generators |
[6885201:18050395489:1] |
Generators of the group modulo torsion |
j |
-42939222744886799071658652589101625/1097220388599006473818770112512 |
j-invariant |
L |
9.2517876090486 |
L(r)(E,1)/r! |
Ω |
0.0047086100660389 |
Real period |
R |
1.6052826420918 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14874b1 |
Quadratic twists by: -3 |