Atkin-Lehner |
2- 3+ 5+ 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
64050br |
Isogeny class |
Conductor |
64050 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
35307562500000000 = 28 · 33 · 512 · 73 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-277563,55438281] |
[a1,a2,a3,a4,a6] |
Generators |
[255:1022:1] |
Generators of the group modulo torsion |
j |
151352117885865961/2259684000000 |
j-invariant |
L |
8.440577176337 |
L(r)(E,1)/r! |
Ω |
0.36781649102461 |
Real period |
R |
2.8684742875589 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999799 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12810h1 |
Quadratic twists by: 5 |