Atkin-Lehner |
3+ 11- 19- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
33231c |
Isogeny class |
Conductor |
33231 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2496 |
Modular degree for the optimal curve |
Δ |
-99693 = -1 · 32 · 11 · 19 · 53 |
Discriminant |
Eigenvalues |
1 3+ 0 -1 11- 1 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-60,-207] |
[a1,a2,a3,a4,a6] |
Generators |
[16:49:1] |
Generators of the group modulo torsion |
j |
-24515367625/99693 |
j-invariant |
L |
5.2027505471016 |
L(r)(E,1)/r! |
Ω |
0.8556332265312 |
Real period |
R |
3.040292490857 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99693d1 |
Quadratic twists by: -3 |