Atkin-Lehner |
2+ 5+ 7- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
117040g |
Isogeny class |
Conductor |
117040 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
35580160 = 28 · 5 · 7 · 11 · 192 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 11+ 0 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-103,-282] |
[a1,a2,a3,a4,a6] |
Generators |
[13:24:1] [22:90:1] |
Generators of the group modulo torsion |
j |
472058064/138985 |
j-invariant |
L |
11.012837575418 |
L(r)(E,1)/r! |
Ω |
1.532521160542 |
Real period |
R |
7.1860916888436 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000609 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58520b1 |
Quadratic twists by: -4 |