Atkin-Lehner |
2- 3+ 5- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
2130k |
Isogeny class |
Conductor |
2130 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
25560 = 23 · 32 · 5 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 0 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-136320,19315785] |
[a1,a2,a3,a4,a6] |
Generators |
[215:-51:1] |
Generators of the group modulo torsion |
j |
280157751714584954881/25560 |
j-invariant |
L |
3.7021822073901 |
L(r)(E,1)/r! |
Ω |
1.4604797659161 |
Real period |
R |
1.6899388332472 |
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 |
17040bc3 68160ba4 6390j3 10650h4 |
Quadratic twists by: -4 8 -3 5 |