Atkin-Lehner |
2- 3+ 5+ 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
65550bs |
Isogeny class |
Conductor |
65550 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
9331200 |
Modular degree for the optimal curve |
Δ |
-2.17479168E+24 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 0 -1 -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,240287,70952464031] |
[a1,a2,a3,a4,a6] |
Generators |
[-3905:104352:1] |
Generators of the group modulo torsion |
j |
98196136043226551/139186667520000000000 |
j-invariant |
L |
9.1202062702303 |
L(r)(E,1)/r! |
Ω |
0.065283977406175 |
Real period |
R |
2.5870468591109 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000536 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13110o1 |
Quadratic twists by: 5 |