Atkin-Lehner |
2- 3+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
65472bo |
Isogeny class |
Conductor |
65472 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1167360 |
Modular degree for the optimal curve |
Δ |
-86462681811618816 = -1 · 210 · 32 · 11 · 318 |
Discriminant |
Eigenvalues |
2- 3+ -2 -2 11+ 2 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3694069,2734054309] |
[a1,a2,a3,a4,a6] |
Generators |
[1129:1116:1] |
Generators of the group modulo torsion |
j |
-5444260314792559771648/84436212706659 |
j-invariant |
L |
2.7149006965508 |
L(r)(E,1)/r! |
Ω |
0.31165724039273 |
Real period |
R |
1.0888968491658 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995729 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65472bb1 16368y1 |
Quadratic twists by: -4 8 |