Atkin-Lehner |
2+ 3+ 5+ 7+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
64050a |
Isogeny class |
Conductor |
64050 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
60106093828593750 = 2 · 34 · 57 · 73 · 614 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 4 2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-474775,125164375] |
[a1,a2,a3,a4,a6] |
Generators |
[601:7273:1] |
Generators of the group modulo torsion |
j |
757475591170033009/3846790005030 |
j-invariant |
L |
3.5819525955542 |
L(r)(E,1)/r! |
Ω |
0.35287191122917 |
Real period |
R |
5.0754289031432 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002329 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12810t3 |
Quadratic twists by: 5 |