Atkin-Lehner |
2+ 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
28798j |
Isogeny class |
Conductor |
28798 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-947799776 = -1 · 25 · 7 · 114 · 172 |
Discriminant |
Eigenvalues |
2+ -1 -2 7- 11- -3 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,119,1445] |
[a1,a2,a3,a4,a6] |
Generators |
[17:85:1] |
Generators of the group modulo torsion |
j |
12562583/64736 |
j-invariant |
L |
2.1287582525036 |
L(r)(E,1)/r! |
Ω |
1.1292003228738 |
Real period |
R |
0.31419849507393 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28798u1 |
Quadratic twists by: -11 |