Atkin-Lehner |
3- 11+ 17+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
99297c |
Isogeny class |
Conductor |
99297 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
725760 |
Modular degree for the optimal curve |
Δ |
-76654475601517539 = -1 · 36 · 116 · 172 · 593 |
Discriminant |
Eigenvalues |
1 3- -1 1 11+ -2 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,20955,-13274668] |
[a1,a2,a3,a4,a6] |
j |
1395878189218479/105150172292891 |
j-invariant |
L |
0.65515545838578 |
L(r)(E,1)/r! |
Ω |
0.16378895393588 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11033b1 |
Quadratic twists by: -3 |