Atkin-Lehner |
2+ 3- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
106134u |
Isogeny class |
Conductor |
106134 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
508032 |
Modular degree for the optimal curve |
Δ |
-1627260851008086 = -1 · 2 · 3 · 78 · 196 |
Discriminant |
Eigenvalues |
2+ 3- 1 7+ 5 0 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-18058,-2155366] |
[a1,a2,a3,a4,a6] |
Generators |
[3595705947834:213343451193566:1003003001] |
Generators of the group modulo torsion |
j |
-2401/6 |
j-invariant |
L |
7.3206036005465 |
L(r)(E,1)/r! |
Ω |
0.19181035236971 |
Real period |
R |
19.08292099489 |
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 |
106134m1 294a1 |
Quadratic twists by: -7 -19 |