Atkin-Lehner |
2- 3- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
65472cc |
Isogeny class |
Conductor |
65472 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
1169068032 = 212 · 33 · 11 · 312 |
Discriminant |
Eigenvalues |
2- 3- 0 0 11+ 2 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-313,-1465] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:24:1] |
Generators of the group modulo torsion |
j |
830584000/285417 |
j-invariant |
L |
7.881002678623 |
L(r)(E,1)/r! |
Ω |
1.1664913762474 |
Real period |
R |
1.1260267098017 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000223 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65472bx1 32736a1 |
Quadratic twists by: -4 8 |