Atkin-Lehner |
3- 5- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
27195u |
Isogeny class |
Conductor |
27195 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
-3125490649156575 = -1 · 34 · 52 · 77 · 374 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- 4 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-7890,-2703933] |
[a1,a2,a3,a4,a6] |
Generators |
[207:2028:1] |
Generators of the group modulo torsion |
j |
-461710681489/26566232175 |
j-invariant |
L |
4.6638678116855 |
L(r)(E,1)/r! |
Ω |
0.19732041473105 |
Real period |
R |
2.954501576815 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
81585s1 3885a1 |
Quadratic twists by: -3 -7 |