Atkin-Lehner |
2+ 3+ 5+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
33150i |
Isogeny class |
Conductor |
33150 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
87360 |
Modular degree for the optimal curve |
Δ |
-34022045491200 = -1 · 213 · 32 · 52 · 13 · 175 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 -3 13- 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,5415,237285] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:438:1] |
Generators of the group modulo torsion |
j |
702188583933695/1360881819648 |
j-invariant |
L |
2.942415744751 |
L(r)(E,1)/r! |
Ω |
0.45135984895283 |
Real period |
R |
0.65190019705499 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99450da1 33150ch1 |
Quadratic twists by: -3 5 |