Atkin-Lehner |
2+ 5- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
109330k |
Isogeny class |
Conductor |
109330 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
243712 |
Modular degree for the optimal curve |
Δ |
3170570000 = 24 · 54 · 13 · 293 |
Discriminant |
Eigenvalues |
2+ -2 5- -4 -4 13+ -8 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4948,133506] |
[a1,a2,a3,a4,a6] |
Generators |
[45:27:1] [-75:327:1] [-59:499:1] |
Generators of the group modulo torsion |
j |
549152055269/130000 |
j-invariant |
L |
8.2799257680955 |
L(r)(E,1)/r! |
Ω |
1.3822118723145 |
Real period |
R |
1.4975862120608 |
Regulator |
r |
3 |
Rank of the group of rational points |
S |
0.99999999995118 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109330w1 |
Quadratic twists by: 29 |