Atkin-Lehner |
2+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
119072c |
Isogeny class |
Conductor |
119072 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
26378431672832 = 29 · 616 |
Discriminant |
Eigenvalues |
2+ 0 -2 0 0 6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-40931,-3177734] |
[a1,a2,a3,a4,a6] |
Generators |
[61481190137479786812606:-1609160015342520329363585:82453625013532319352] |
Generators of the group modulo torsion |
j |
287496 |
j-invariant |
L |
5.576535272952 |
L(r)(E,1)/r! |
Ω |
0.33572006825604 |
Real period |
R |
33.221340007021 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010033 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119072c3 32a3 |
Quadratic twists by: -4 61 |