Atkin-Lehner |
2- 3- 5- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
52080cb |
Isogeny class |
Conductor |
52080 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
145790668800 = 212 · 38 · 52 · 7 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2240,35700] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:270:1] |
Generators of the group modulo torsion |
j |
303599943361/35593425 |
j-invariant |
L |
8.7348243035574 |
L(r)(E,1)/r! |
Ω |
0.99678577810342 |
Real period |
R |
0.54768690621671 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000038 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3255c1 |
Quadratic twists by: -4 |