Atkin-Lehner |
2+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
61504c |
Isogeny class |
Conductor |
61504 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
15130968064 = 214 · 314 |
Discriminant |
Eigenvalues |
2+ 1 -3 -1 -1 -7 -5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16657,-833009] |
[a1,a2,a3,a4,a6] |
Generators |
[-75:4:1] |
Generators of the group modulo torsion |
j |
33781072 |
j-invariant |
L |
2.974042375769 |
L(r)(E,1)/r! |
Ω |
0.42024151834402 |
Real period |
R |
1.76924592515 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000447 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61504bi1 7688e1 61504s1 |
Quadratic twists by: -4 8 -31 |