Atkin-Lehner |
2- 7- 31+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
124558t |
Isogeny class |
Conductor |
124558 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-395910940876386544 = -1 · 24 · 710 · 31 · 414 |
Discriminant |
Eigenvalues |
2- 0 2 7- -4 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,45536,-30052557] |
[a1,a2,a3,a4,a6] |
Generators |
[349551:7182055:729] |
Generators of the group modulo torsion |
j |
88758314916543/3365187471856 |
j-invariant |
L |
12.031648243433 |
L(r)(E,1)/r! |
Ω |
0.14421543002597 |
Real period |
R |
10.428537533418 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000036606 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17794f4 |
Quadratic twists by: -7 |