Atkin-Lehner |
3- 61- |
Signs for the Atkin-Lehner involutions |
Class |
33489h |
Isogeny class |
Conductor |
33489 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
585600 |
Modular degree for the optimal curve |
Δ |
-2.5575097505028E+19 |
Discriminant |
Eigenvalues |
1 3- 2 2 0 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-553266,290468295] |
[a1,a2,a3,a4,a6] |
Generators |
[1318913310633726600639189702300:-675946149434401856538916106187927:40895839543503104282123000000] |
Generators of the group modulo torsion |
j |
-2197/3 |
j-invariant |
L |
8.3242412048701 |
L(r)(E,1)/r! |
Ω |
0.19104916544056 |
Real period |
R |
43.571198993067 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11163e1 33489j1 |
Quadratic twists by: -3 61 |