Atkin-Lehner |
2- 3+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
9438u |
Isogeny class |
Conductor |
9438 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
51200 |
Modular degree for the optimal curve |
Δ |
-366763127537664 = -1 · 216 · 35 · 116 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 2 -4 11- 13+ -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2362,-923449] |
[a1,a2,a3,a4,a6] |
Generators |
[193:2323:1] |
Generators of the group modulo torsion |
j |
-822656953/207028224 |
j-invariant |
L |
5.6691741776887 |
L(r)(E,1)/r! |
Ω |
0.23990181360044 |
Real period |
R |
1.4769516778046 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
75504cm1 28314u1 78a1 122694x1 |
Quadratic twists by: -4 -3 -11 13 |