Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
7350ci |
Isogeny class |
Conductor |
7350 |
Conductor |
∏ cp |
102 |
Product of Tamagawa factors cp |
deg |
34272 |
Modular degree for the optimal curve |
Δ |
170010899251200 = 217 · 32 · 52 · 78 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 -4 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-14113,-152503] |
[a1,a2,a3,a4,a6] |
Generators |
[-94:635:1] |
Generators of the group modulo torsion |
j |
2157045625/1179648 |
j-invariant |
L |
6.9834527013034 |
L(r)(E,1)/r! |
Ω |
0.46784175636598 |
Real period |
R |
0.14634269307983 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58800ex1 22050ba1 7350l1 7350bw1 |
Quadratic twists by: -4 -3 5 -7 |