Atkin-Lehner |
2- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
93104r |
Isogeny class |
Conductor |
93104 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
290304 |
Modular degree for the optimal curve |
Δ |
33961860399104 = 221 · 113 · 233 |
Discriminant |
Eigenvalues |
2- 2 -3 3 11+ -5 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8272,-69696] |
[a1,a2,a3,a4,a6] |
Generators |
[-72:384:1] |
Generators of the group modulo torsion |
j |
1256216039/681472 |
j-invariant |
L |
7.6273947416142 |
L(r)(E,1)/r! |
Ω |
0.5337785061829 |
Real period |
R |
1.7861797178367 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011965 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11638v1 93104be1 |
Quadratic twists by: -4 -23 |