Atkin-Lehner |
2- 3+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
34272w |
Isogeny class |
Conductor |
34272 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-7694216441856 = -1 · 212 · 33 · 72 · 175 |
Discriminant |
Eigenvalues |
2- 3+ 1 7+ -1 5 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11112,470192] |
[a1,a2,a3,a4,a6] |
Generators |
[92:476:1] |
Generators of the group modulo torsion |
j |
-1372071356928/69572993 |
j-invariant |
L |
6.4754171303469 |
L(r)(E,1)/r! |
Ω |
0.73242965202377 |
Real period |
R |
0.22102522448588 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34272e1 68544h1 34272a1 |
Quadratic twists by: -4 8 -3 |