Atkin-Lehner |
2- 3- 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
33300p |
Isogeny class |
Conductor |
33300 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
4193280 |
Modular degree for the optimal curve |
Δ |
7.8987101020313E+22 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 -5 -2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-49375800,-132856105500] |
[a1,a2,a3,a4,a6] |
j |
4565397831743545344/27087483203125 |
j-invariant |
L |
1.7092180196473 |
L(r)(E,1)/r! |
Ω |
0.056973933988238 |
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 |
3700e1 6660c1 |
Quadratic twists by: -3 5 |