Atkin-Lehner |
2- 3- 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
33300u |
Isogeny class |
Conductor |
33300 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-3146130720000 = -1 · 28 · 312 · 54 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 0 6 6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,825,-84850] |
[a1,a2,a3,a4,a6] |
j |
532400/26973 |
j-invariant |
L |
2.2923499967558 |
L(r)(E,1)/r! |
Ω |
0.38205833279343 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11100d1 33300n1 |
Quadratic twists by: -3 5 |