Atkin-Lehner |
2+ 3+ 5- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
112710i |
Isogeny class |
Conductor |
112710 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
279072 |
Modular degree for the optimal curve |
Δ |
-23083008000000 = -1 · 217 · 3 · 56 · 13 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 2 13+ 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,6123,-136851] |
[a1,a2,a3,a4,a6] |
j |
87822908801351/79872000000 |
j-invariant |
L |
2.2243020270412 |
L(r)(E,1)/r! |
Ω |
0.370717036736 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112710z1 |
Quadratic twists by: 17 |