Atkin-Lehner |
2- 3+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
100188c |
Isogeny class |
Conductor |
100188 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
-141152283139824 = -1 · 24 · 39 · 117 · 23 |
Discriminant |
Eigenvalues |
2- 3+ -1 1 11- 0 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6400053,6231942981] |
[a1,a2,a3,a4,a6] |
Generators |
[1461:27:1] |
Generators of the group modulo torsion |
j |
-51964534050048/253 |
j-invariant |
L |
6.4262186942522 |
L(r)(E,1)/r! |
Ω |
0.39350603378277 |
Real period |
R |
1.3608894883857 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999912179 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100188g1 9108d1 |
Quadratic twists by: -3 -11 |