Atkin-Lehner |
2+ 5+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
52640g |
Isogeny class |
Conductor |
52640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
58880 |
Modular degree for the optimal curve |
Δ |
-1444441600000 = -1 · 212 · 55 · 74 · 47 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 6 1 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,232,-57808] |
[a1,a2,a3,a4,a6] |
Generators |
[52:308:1] |
Generators of the group modulo torsion |
j |
337153536/352646875 |
j-invariant |
L |
5.9622296700822 |
L(r)(E,1)/r! |
Ω |
0.39676712844557 |
Real period |
R |
1.8783781601986 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000046 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52640a1 105280bl1 |
Quadratic twists by: -4 8 |