Atkin-Lehner |
2- 3- 5+ 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
98700x |
Isogeny class |
Conductor |
98700 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
5854464 |
Modular degree for the optimal curve |
Δ |
-2.5405929823278E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 1 6 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-14835758,-22012741887] |
[a1,a2,a3,a4,a6] |
Generators |
[8038:614925:1] |
Generators of the group modulo torsion |
j |
-1444484727147822635776/1016237192931135 |
j-invariant |
L |
8.5313887483903 |
L(r)(E,1)/r! |
Ω |
0.038461285642144 |
Real period |
R |
5.2813706015223 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012107 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19740l1 |
Quadratic twists by: 5 |