Atkin-Lehner |
3+ 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
96921f |
Isogeny class |
Conductor |
96921 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
3500640 |
Modular degree for the optimal curve |
Δ |
-2.3560408001531E+22 |
Discriminant |
Eigenvalues |
0 3+ 0 0 11- 2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-12218580,-18021749650] |
[a1,a2,a3,a4,a6] |
Generators |
[940170:70219202:125] |
Generators of the group modulo torsion |
j |
-47813787648000/5584059449 |
j-invariant |
L |
4.7533783978695 |
L(r)(E,1)/r! |
Ω |
0.040111972266008 |
Real period |
R |
3.950091148689 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999447 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96921a1 96921g1 |
Quadratic twists by: -3 -11 |