Atkin-Lehner |
3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
4095i |
Isogeny class |
Conductor |
4095 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-4897683984375 = -1 · 39 · 58 · 72 · 13 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- -4 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1350,-105089] |
[a1,a2,a3,a4,a6] |
j |
373092501599/6718359375 |
j-invariant |
L |
1.4988272596021 |
L(r)(E,1)/r! |
Ω |
0.37470681490053 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65520cu1 1365b1 20475s1 28665bp1 |
Quadratic twists by: -4 -3 5 -7 |