Atkin-Lehner |
2- 3+ 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84150ef |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-441396202500000 = -1 · 25 · 33 · 57 · 113 · 173 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 11- 4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,17620,455247] |
[a1,a2,a3,a4,a6] |
Generators |
[89:-1695:1] |
Generators of the group modulo torsion |
j |
1434104310933/1046272480 |
j-invariant |
L |
11.970012618528 |
L(r)(E,1)/r! |
Ω |
0.33661801094905 |
Real period |
R |
0.29633026722293 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001786 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84150d2 16830k1 |
Quadratic twists by: -3 5 |