Atkin-Lehner |
2+ 3- 5+ 11- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
88110s |
Isogeny class |
Conductor |
88110 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
834261120 |
Modular degree for the optimal curve |
Δ |
-8.9489074617259E+33 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 11- 5 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-70744293135,8553851867922925] |
[a1,a2,a3,a4,a6] |
Generators |
[-304485961:275403878183:2197] |
Generators of the group modulo torsion |
j |
-53711888017171801045793163661413361/12275593225961472000000000000000 |
j-invariant |
L |
4.1516877039551 |
L(r)(E,1)/r! |
Ω |
0.012421511478413 |
Real period |
R |
11.936917750567 |
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 |
29370x1 |
Quadratic twists by: -3 |