Atkin-Lehner |
2+ 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
10850n |
Isogeny class |
Conductor |
10850 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-28611276400000000 = -1 · 210 · 58 · 74 · 313 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- -2 -6 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-49817,9207341] |
[a1,a2,a3,a4,a6] |
Generators |
[-62:3503:1] |
Generators of the group modulo torsion |
j |
-875066990644449/1831121689600 |
j-invariant |
L |
2.9887510376516 |
L(r)(E,1)/r! |
Ω |
0.33204301134169 |
Real period |
R |
0.37504566872914 |
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 |
86800x1 97650ee1 2170j1 75950i1 |
Quadratic twists by: -4 -3 5 -7 |