Atkin-Lehner |
2+ 5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
9350m |
Isogeny class |
Conductor |
9350 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-138350080000 = -1 · 212 · 54 · 11 · 173 |
Discriminant |
Eigenvalues |
2+ -2 5- -1 11- -4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1251,-24802] |
[a1,a2,a3,a4,a6] |
Generators |
[63:352:1] |
Generators of the group modulo torsion |
j |
-346032180025/221360128 |
j-invariant |
L |
1.8466711115808 |
L(r)(E,1)/r! |
Ω |
0.39016223376599 |
Real period |
R |
2.3665426222268 |
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 |
74800cq2 84150gs2 9350bf2 102850dq2 |
Quadratic twists by: -4 -3 5 -11 |