Atkin-Lehner |
2+ 3+ 5+ 29- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
35670a |
Isogeny class |
Conductor |
35670 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
1241316000000 = 28 · 32 · 56 · 292 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -2 -4 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-5798,-163692] |
[a1,a2,a3,a4,a6] |
Generators |
[-52:50:1] [-37:62:1] |
Generators of the group modulo torsion |
j |
21561321616605289/1241316000000 |
j-invariant |
L |
5.3380540704668 |
L(r)(E,1)/r! |
Ω |
0.54907074085312 |
Real period |
R |
2.4304946855179 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107010w1 |
Quadratic twists by: -3 |