Atkin-Lehner |
2+ 3- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
95550ex |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
1451520 |
Modular degree for the optimal curve |
Δ |
-341456369231250000 = -1 · 24 · 36 · 58 · 78 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 0 13- -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,161674,12833048] |
[a1,a2,a3,a4,a6] |
j |
207540935/151632 |
j-invariant |
L |
2.3211115911914 |
L(r)(E,1)/r! |
Ω |
0.19342594511401 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
95550ga1 95550cj1 |
Quadratic twists by: 5 -7 |