Atkin-Lehner |
3+ 7+ 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
33201a |
Isogeny class |
Conductor |
33201 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
127104 |
Modular degree for the optimal curve |
Δ |
-15756497379 = -1 · 39 · 72 · 17 · 312 |
Discriminant |
Eigenvalues |
0 3+ 3 7+ 5 3 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-338526,-75811687] |
[a1,a2,a3,a4,a6] |
j |
-217975914625204224/800513 |
j-invariant |
L |
3.1668065156578 |
L(r)(E,1)/r! |
Ω |
0.098962703614271 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33201b1 |
Quadratic twists by: -3 |