Atkin-Lehner |
2- 3- 19- 89- |
Signs for the Atkin-Lehner involutions |
Class |
10146r |
Isogeny class |
Conductor |
10146 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-6543891431424 = -1 · 216 · 310 · 19 · 89 |
Discriminant |
Eigenvalues |
2- 3- -1 2 -3 -7 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,3279,-99351] |
[a1,a2,a3,a4,a6] |
Generators |
[138:-1797:1] |
Generators of the group modulo torsion |
j |
3898878343727471/6543891431424 |
j-invariant |
L |
7.5605527099309 |
L(r)(E,1)/r! |
Ω |
0.39504545485659 |
Real period |
R |
0.1196152337817 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81168bs1 30438g1 |
Quadratic twists by: -4 -3 |