Atkin-Lehner |
2+ 5- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
54910o |
Isogeny class |
Conductor |
54910 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
57679776 |
Modular degree for the optimal curve |
Δ |
-4.6577523075974E+27 |
Discriminant |
Eigenvalues |
2+ 2 5- 5 1 -5 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-321348787,-3962203617171] |
[a1,a2,a3,a4,a6] |
Generators |
[792095880784593:157874584491260491:16406426421] |
Generators of the group modulo torsion |
j |
-1820390226649146649/2310400000000000 |
j-invariant |
L |
8.4525915820974 |
L(r)(E,1)/r! |
Ω |
0.017017090364779 |
Real period |
R |
22.577814423103 |
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 |
54910g1 |
Quadratic twists by: 17 |