Atkin-Lehner |
3+ 5- 7- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
128205j |
Isogeny class |
Conductor |
128205 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
29952 |
Modular degree for the optimal curve |
Δ |
-67307625 = -1 · 33 · 53 · 72 · 11 · 37 |
Discriminant |
Eigenvalues |
1 3+ 5- 7- 11+ -4 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,51,-382] |
[a1,a2,a3,a4,a6] |
Generators |
[22:94:1] |
Generators of the group modulo torsion |
j |
537367797/2492875 |
j-invariant |
L |
8.1774970057316 |
L(r)(E,1)/r! |
Ω |
0.98621320997633 |
Real period |
R |
0.69098453990142 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000039192 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128205e1 |
Quadratic twists by: -3 |