Atkin-Lehner |
2- 3- 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
74448bu |
Isogeny class |
Conductor |
74448 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
518400 |
Modular degree for the optimal curve |
Δ |
-19393534339559424 = -1 · 212 · 36 · 113 · 474 |
Discriminant |
Eigenvalues |
2- 3- 3 2 11- 0 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7536,-6704912] |
[a1,a2,a3,a4,a6] |
Generators |
[26205:120461:125] |
Generators of the group modulo torsion |
j |
-15851081728/6494855411 |
j-invariant |
L |
9.5085700077417 |
L(r)(E,1)/r! |
Ω |
0.17303574388252 |
Real period |
R |
4.5792898975606 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001267 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4653a1 8272g1 |
Quadratic twists by: -4 -3 |