Atkin-Lehner |
3+ 5+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
27195f |
Isogeny class |
Conductor |
27195 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
12340791855 = 34 · 5 · 77 · 37 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- -4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-27412561,-55253820952] |
[a1,a2,a3,a4,a6] |
Generators |
[-917858528025153:458778291068629:303599943361] |
Generators of the group modulo torsion |
j |
19363519907006533090561/104895 |
j-invariant |
L |
2.1429887194563 |
L(r)(E,1)/r! |
Ω |
0.065979975784818 |
Real period |
R |
16.239690102685 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81585be4 3885h4 |
Quadratic twists by: -3 -7 |