Atkin-Lehner |
2- 5+ 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
38870bd |
Isogeny class |
Conductor |
38870 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
72576 |
Modular degree for the optimal curve |
Δ |
15790937500 = 22 · 57 · 133 · 23 |
Discriminant |
Eigenvalues |
2- 1 5+ 1 -2 13- 1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-61071,5803901] |
[a1,a2,a3,a4,a6] |
Generators |
[118:435:1] |
Generators of the group modulo torsion |
j |
11465663552898157/7187500 |
j-invariant |
L |
9.8790485444088 |
L(r)(E,1)/r! |
Ω |
1.0242302012083 |
Real period |
R |
2.4113350037793 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38870t1 |
Quadratic twists by: 13 |