Atkin-Lehner |
3- 5+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
27195p |
Isogeny class |
Conductor |
27195 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-950873175 = -1 · 34 · 52 · 73 · 372 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 0 -6 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,209,-904] |
[a1,a2,a3,a4,a6] |
Generators |
[5:14:1] [11:-58:1] |
Generators of the group modulo torsion |
j |
2942649737/2772225 |
j-invariant |
L |
5.8562813646341 |
L(r)(E,1)/r! |
Ω |
0.85730425164551 |
Real period |
R |
0.85388025216749 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81585bd1 27195l1 |
Quadratic twists by: -3 -7 |