Atkin-Lehner |
3+ 5- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
11655b |
Isogeny class |
Conductor |
11655 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
4715554725 = 39 · 52 · 7 · 372 |
Discriminant |
Eigenvalues |
1 3+ 5- 7+ -2 -4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-25179,-1531540] |
[a1,a2,a3,a4,a6] |
Generators |
[1582:7947:8] |
Generators of the group modulo torsion |
j |
89692794502947/239575 |
j-invariant |
L |
5.3462603157895 |
L(r)(E,1)/r! |
Ω |
0.37899998808226 |
Real period |
R |
7.0531140948601 |
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 |
11655a2 58275b2 81585d2 |
Quadratic twists by: -3 5 -7 |