Atkin-Lehner |
3- 5- 23+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
74175v |
Isogeny class |
Conductor |
74175 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
1351839375 = 37 · 54 · 23 · 43 |
Discriminant |
Eigenvalues |
-1 3- 5- -2 -2 -1 7 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-388,-2383] |
[a1,a2,a3,a4,a6] |
Generators |
[-122:115:8] [-13:29:1] |
Generators of the group modulo torsion |
j |
10337340625/2162943 |
j-invariant |
L |
7.7839369608693 |
L(r)(E,1)/r! |
Ω |
1.0915662137989 |
Real period |
R |
0.33957048149435 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000018 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74175g1 |
Quadratic twists by: 5 |