Atkin-Lehner |
2+ 5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
9350m |
Isogeny class |
Conductor |
9350 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
3168 |
Modular degree for the optimal curve |
Δ |
-226270000 = -1 · 24 · 54 · 113 · 17 |
Discriminant |
Eigenvalues |
2+ -2 5- -1 11- -4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,124,498] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:11:1] |
Generators of the group modulo torsion |
j |
341297975/362032 |
j-invariant |
L |
1.8466711115808 |
L(r)(E,1)/r! |
Ω |
1.170486701298 |
Real period |
R |
0.78884754074225 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
74800cq1 84150gs1 9350bf1 102850dq1 |
Quadratic twists by: -4 -3 5 -11 |