Atkin-Lehner |
2+ 5- 7- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
111650i |
Isogeny class |
Conductor |
111650 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
470400 |
Modular degree for the optimal curve |
Δ |
-105313862500000 = -1 · 25 · 58 · 74 · 112 · 29 |
Discriminant |
Eigenvalues |
2+ 2 5- 7- 11+ -2 8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-8575,577125] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:813:1] |
Generators of the group modulo torsion |
j |
-178543973785/269603488 |
j-invariant |
L |
7.451871081339 |
L(r)(E,1)/r! |
Ω |
0.53519104370349 |
Real period |
R |
1.7404698610295 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000039813 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111650n1 |
Quadratic twists by: 5 |