Atkin-Lehner |
3- 5+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
11655c |
Isogeny class |
Conductor |
11655 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
127319977575 = 312 · 52 · 7 · 372 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ -6 -4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8213,288006] |
[a1,a2,a3,a4,a6] |
Generators |
[-40:762:1] [-10:612:1] |
Generators of the group modulo torsion |
j |
84033427451401/174650175 |
j-invariant |
L |
3.8020793727632 |
L(r)(E,1)/r! |
Ω |
1.0443347884788 |
Real period |
R |
0.91016774857721 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3885d2 58275ba2 81585y2 |
Quadratic twists by: -3 5 -7 |