Atkin-Lehner |
2- 5+ 7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
117040bq |
Isogeny class |
Conductor |
117040 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
33116160 |
Modular degree for the optimal curve |
Δ |
-1.5505599752868E+26 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 11- 2 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,83455504,522344213204] |
[a1,a2,a3,a4,a6] |
Generators |
[33572:6415882:1] |
Generators of the group modulo torsion |
j |
15693821609468378142290831/37855468146650000000000 |
j-invariant |
L |
6.9640423166766 |
L(r)(E,1)/r! |
Ω |
0.040232884642455 |
Real period |
R |
6.1819031405783 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000044165 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14630l1 |
Quadratic twists by: -4 |