Atkin-Lehner |
3+ 5- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
11655b |
Isogeny class |
Conductor |
11655 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-22303299375 = -1 · 39 · 54 · 72 · 37 |
Discriminant |
Eigenvalues |
1 3+ 5- 7+ -2 -4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1554,-24265] |
[a1,a2,a3,a4,a6] |
Generators |
[154:1759:1] |
Generators of the group modulo torsion |
j |
-21093208947/1133125 |
j-invariant |
L |
5.3462603157895 |
L(r)(E,1)/r! |
Ω |
0.37899998808226 |
Real period |
R |
3.52655704743 |
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 |
11655a1 58275b1 81585d1 |
Quadratic twists by: -3 5 -7 |