Atkin-Lehner |
2+ 11- 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
97526n |
Isogeny class |
Conductor |
97526 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6128640 |
Modular degree for the optimal curve |
Δ |
-1404035661998587904 = -1 · 219 · 118 · 13 · 312 |
Discriminant |
Eigenvalues |
2+ -3 -1 3 11- 13- 7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4343620,-3483763376] |
[a1,a2,a3,a4,a6] |
Generators |
[221242735:14205065064:42875] |
Generators of the group modulo torsion |
j |
-5115912758587353969/792541528064 |
j-invariant |
L |
2.9599217172233 |
L(r)(E,1)/r! |
Ω |
0.052288063978749 |
Real period |
R |
14.151995235143 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999597788 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8866i1 |
Quadratic twists by: -11 |