Atkin-Lehner |
2- 3+ 5+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
33150bl |
Isogeny class |
Conductor |
33150 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
146880 |
Modular degree for the optimal curve |
Δ |
-531785566406250 = -1 · 2 · 36 · 510 · 133 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 3 13+ 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-20638,-1600219] |
[a1,a2,a3,a4,a6] |
Generators |
[259692141412:-7270335143469:331373888] |
Generators of the group modulo torsion |
j |
-99546915625/54454842 |
j-invariant |
L |
7.0703155623742 |
L(r)(E,1)/r! |
Ω |
0.19420951362733 |
Real period |
R |
18.202804358857 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99450t1 33150z1 |
Quadratic twists by: -3 5 |