Atkin-Lehner |
2- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
9200x |
Isogeny class |
Conductor |
9200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12096 |
Modular degree for the optimal curve |
Δ |
-6933708800 = -1 · 219 · 52 · 232 |
Discriminant |
Eigenvalues |
2- -3 5+ -4 -3 -6 5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,125,3970] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:46:1] [1:64:1] |
Generators of the group modulo torsion |
j |
2109375/67712 |
j-invariant |
L |
3.5223716866259 |
L(r)(E,1)/r! |
Ω |
1.0019830575113 |
Real period |
R |
0.43942505567112 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999956 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1150b1 36800ci1 82800et1 9200bl1 |
Quadratic twists by: -4 8 -3 5 |