Atkin-Lehner |
3- 7+ 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
33201g |
Isogeny class |
Conductor |
33201 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
26624 |
Modular degree for the optimal curve |
Δ |
118911937977 = 38 · 7 · 174 · 31 |
Discriminant |
Eigenvalues |
1 3- -2 7+ 0 -6 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1233,-1296] |
[a1,a2,a3,a4,a6] |
Generators |
[-32:84:1] [-12:114:1] |
Generators of the group modulo torsion |
j |
284500822033/163116513 |
j-invariant |
L |
8.8475930791965 |
L(r)(E,1)/r! |
Ω |
0.87424181348153 |
Real period |
R |
2.5300760449684 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11067f1 |
Quadratic twists by: -3 |