Atkin-Lehner |
2+ 5- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
9350k |
Isogeny class |
Conductor |
9350 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
2229120 |
Modular degree for the optimal curve |
Δ |
-3.3394346021555E+22 |
Discriminant |
Eigenvalues |
2+ -2 5- 5 11+ -4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-90108576,329338274798] |
[a1,a2,a3,a4,a6] |
Generators |
[9881:630451:1] |
Generators of the group modulo torsion |
j |
-207139083365807493797785/85489525815181312 |
j-invariant |
L |
2.5052063261614 |
L(r)(E,1)/r! |
Ω |
0.11464596933914 |
Real period |
R |
3.6419456357723 |
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 |
74800do1 84150hb1 9350u1 102850dg1 |
Quadratic twists by: -4 -3 5 -11 |