Atkin-Lehner |
3- 5- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
11655o |
Isogeny class |
Conductor |
11655 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
5974098046875 = 310 · 58 · 7 · 37 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- 0 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-13487,594636] |
[a1,a2,a3,a4,a6] |
Generators |
[-94:1059:1] |
Generators of the group modulo torsion |
j |
372144896498089/8194921875 |
j-invariant |
L |
3.3572286738931 |
L(r)(E,1)/r! |
Ω |
0.75594347856898 |
Real period |
R |
0.55513883793409 |
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 |
3885c3 58275c3 81585t3 |
Quadratic twists by: -3 5 -7 |