Atkin-Lehner |
2+ 7- 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
59878h |
Isogeny class |
Conductor |
59878 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-223089553466544128 = -1 · 212 · 79 · 13 · 473 |
Discriminant |
Eigenvalues |
2+ -1 0 7- 0 13+ 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-36530,-22898252] |
[a1,a2,a3,a4,a6] |
Generators |
[756:19174:1] |
Generators of the group modulo torsion |
j |
-45825062361625/1896229916672 |
j-invariant |
L |
3.6529405305531 |
L(r)(E,1)/r! |
Ω |
0.13756140861602 |
Real period |
R |
2.212915045902 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000577 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8554e2 |
Quadratic twists by: -7 |