Atkin-Lehner |
5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
39325a |
Isogeny class |
Conductor |
39325 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
67200 |
Modular degree for the optimal curve |
Δ |
-51458310921875 = -1 · 56 · 117 · 132 |
Discriminant |
Eigenvalues |
0 1 5+ -2 11- 13+ -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-4033,357594] |
[a1,a2,a3,a4,a6] |
Generators |
[84:786:1] [-54:4957:8] |
Generators of the group modulo torsion |
j |
-262144/1859 |
j-invariant |
L |
8.1981510142321 |
L(r)(E,1)/r! |
Ω |
0.54361336940436 |
Real period |
R |
1.8851060964559 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1573b1 3575d1 |
Quadratic twists by: 5 -11 |