Atkin-Lehner |
2+ 3- 5- 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
74550bk |
Isogeny class |
Conductor |
74550 |
Conductor |
∏ cp |
46 |
Product of Tamagawa factors cp |
deg |
17222400 |
Modular degree for the optimal curve |
Δ |
-1.0630497124059E+25 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 0 3 1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-52592576,214841462798] |
[a1,a2,a3,a4,a6] |
j |
-41184803211813600270745/27214072637590315008 |
j-invariant |
L |
3.0627785754388 |
L(r)(E,1)/r! |
Ω |
0.066582142881132 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74550cg1 |
Quadratic twists by: 5 |