Atkin-Lehner |
5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
39325l |
Isogeny class |
Conductor |
39325 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
709632 |
Modular degree for the optimal curve |
Δ |
27213529814453125 = 510 · 118 · 13 |
Discriminant |
Eigenvalues |
-1 -3 5+ -2 11- 13- -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-734130,242160372] |
[a1,a2,a3,a4,a6] |
Generators |
[454:1285:1] |
Generators of the group modulo torsion |
j |
13064132169/8125 |
j-invariant |
L |
1.389976316937 |
L(r)(E,1)/r! |
Ω |
0.37095744539194 |
Real period |
R |
0.62449944695204 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999779 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7865a1 39325c1 |
Quadratic twists by: 5 -11 |