Atkin-Lehner |
3+ 19- 43- |
Signs for the Atkin-Lehner involutions |
Class |
105393k |
Isogeny class |
Conductor |
105393 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
975240 |
Modular degree for the optimal curve |
Δ |
-7092133166927619 = -1 · 310 · 19 · 436 |
Discriminant |
Eigenvalues |
2 3+ -1 -3 -3 -6 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,36364,3036383] |
[a1,a2,a3,a4,a6] |
Generators |
[29237858:670932607:195112] |
Generators of the group modulo torsion |
j |
841232384/1121931 |
j-invariant |
L |
6.30347739768 |
L(r)(E,1)/r! |
Ω |
0.28264772570515 |
Real period |
R |
11.150766187431 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999876025 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57c1 |
Quadratic twists by: -43 |