Atkin-Lehner |
2+ 3- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
65472ba |
Isogeny class |
Conductor |
65472 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
19445184 = 26 · 34 · 112 · 31 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 11- 0 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3344,73326] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:330:1] |
Generators of the group modulo torsion |
j |
64635693179968/303831 |
j-invariant |
L |
7.5051358816527 |
L(r)(E,1)/r! |
Ω |
1.9159775614849 |
Real period |
R |
1.9585657036371 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999903 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65472e1 32736h2 |
Quadratic twists by: -4 8 |