Atkin-Lehner |
2- 5+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
9350s |
Isogeny class |
Conductor |
9350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-23221601562500 = -1 · 22 · 510 · 112 · 173 |
Discriminant |
Eigenvalues |
2- -1 5+ 1 11+ 1 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5638,281031] |
[a1,a2,a3,a4,a6] |
j |
-2029568425/2377892 |
j-invariant |
L |
2.4483569987523 |
L(r)(E,1)/r! |
Ω |
0.61208924968807 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74800bt1 84150cp1 9350i1 102850q1 |
Quadratic twists by: -4 -3 5 -11 |