Atkin-Lehner |
2- 3+ 5- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
2670c |
Isogeny class |
Conductor |
2670 |
Conductor |
∏ cp |
52 |
Product of Tamagawa factors cp |
Δ |
172422928834560 = 213 · 312 · 5 · 892 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 0 -6 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-219805,39568115] |
[a1,a2,a3,a4,a6] |
Generators |
[295:564:1] |
Generators of the group modulo torsion |
j |
1174455422712147024721/172422928834560 |
j-invariant |
L |
4.0553996657848 |
L(r)(E,1)/r! |
Ω |
0.5521455224537 |
Real period |
R |
0.5649847870878 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21360o2 85440o2 8010e2 13350e2 |
Quadratic twists by: -4 8 -3 5 |