Atkin-Lehner |
2+ 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
64680q |
Isogeny class |
Conductor |
64680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1111218560686080 = 211 · 32 · 5 · 77 · 114 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11+ -2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-660536,206403504] |
[a1,a2,a3,a4,a6] |
Generators |
[667:7938:1] |
Generators of the group modulo torsion |
j |
132280446972242/4611915 |
j-invariant |
L |
6.3569122889022 |
L(r)(E,1)/r! |
Ω |
0.45767940636364 |
Real period |
R |
3.4723608930271 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000155 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129360ba4 9240d3 |
Quadratic twists by: -4 -7 |