Atkin-Lehner |
2- 3+ 5+ 7+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
64050bo |
Isogeny class |
Conductor |
64050 |
Conductor |
∏ cp |
13 |
Product of Tamagawa factors cp |
deg |
1263600 |
Modular degree for the optimal curve |
Δ |
-2214490320000000000 = -1 · 213 · 33 · 510 · 75 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -3 -1 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-331888,-102812719] |
[a1,a2,a3,a4,a6] |
j |
-413998150129225/226763808768 |
j-invariant |
L |
1.2607288492252 |
L(r)(E,1)/r! |
Ω |
0.096979142385602 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64050bk1 |
Quadratic twists by: 5 |