Atkin-Lehner |
2- 3+ 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
52200bo |
Isogeny class |
Conductor |
52200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
28672 |
Modular degree for the optimal curve |
Δ |
-12528000000 = -1 · 210 · 33 · 56 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 0 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,525,2750] |
[a1,a2,a3,a4,a6] |
Generators |
[379:7392:1] |
Generators of the group modulo torsion |
j |
37044/29 |
j-invariant |
L |
7.1192341974481 |
L(r)(E,1)/r! |
Ω |
0.81284472085174 |
Real period |
R |
4.3792092233651 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000018 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104400j1 52200c1 2088b1 |
Quadratic twists by: -4 -3 5 |