Atkin-Lehner |
2- 3- 5+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
9270t |
Isogeny class |
Conductor |
9270 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
88704 |
Modular degree for the optimal curve |
Δ |
-66507183945000000 = -1 · 26 · 317 · 57 · 103 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 0 4 -1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,50962,11577917] |
[a1,a2,a3,a4,a6] |
Generators |
[117:4315:1] |
Generators of the group modulo torsion |
j |
20079068607095399/91230705000000 |
j-invariant |
L |
5.7423018331677 |
L(r)(E,1)/r! |
Ω |
0.24943182525799 |
Real period |
R |
0.95923034734849 |
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 |
74160bi1 3090f1 46350u1 |
Quadratic twists by: -4 -3 5 |