Atkin-Lehner |
3- 5- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
11655o |
Isogeny class |
Conductor |
11655 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
717288268725 = 37 · 52 · 7 · 374 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- 0 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-25457,-1556436] |
[a1,a2,a3,a4,a6] |
Generators |
[-91:63:1] |
Generators of the group modulo torsion |
j |
2502660030961609/983934525 |
j-invariant |
L |
3.3572286738931 |
L(r)(E,1)/r! |
Ω |
0.37797173928449 |
Real period |
R |
2.2205553517364 |
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 |
3885c4 58275c4 81585t4 |
Quadratic twists by: -3 5 -7 |