Atkin-Lehner |
2- 7- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
99176s |
Isogeny class |
Conductor |
99176 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
212992 |
Modular degree for the optimal curve |
Δ |
-11892982807552 = -1 · 210 · 73 · 112 · 234 |
Discriminant |
Eigenvalues |
2- 2 2 7- 11- 2 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9592,401052] |
[a1,a2,a3,a4,a6] |
Generators |
[93:552:1] |
Generators of the group modulo torsion |
j |
-277908878524/33860761 |
j-invariant |
L |
12.525550081182 |
L(r)(E,1)/r! |
Ω |
0.6937259875949 |
Real period |
R |
2.2569339871869 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006068 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99176t1 |
Quadratic twists by: -7 |