Atkin-Lehner |
2+ 5- 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
105280o |
Isogeny class |
Conductor |
105280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
37888 |
Modular degree for the optimal curve |
Δ |
33689600 = 212 · 52 · 7 · 47 |
Discriminant |
Eigenvalues |
2+ 2 5- 7+ 0 2 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-425,-3223] |
[a1,a2,a3,a4,a6] |
Generators |
[637:16056:1] |
Generators of the group modulo torsion |
j |
2077552576/8225 |
j-invariant |
L |
11.430196537021 |
L(r)(E,1)/r! |
Ω |
1.0515274665081 |
Real period |
R |
5.4350442119741 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999963844 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
105280r1 52640l1 |
Quadratic twists by: -4 8 |