Atkin-Lehner |
2+ 3+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
106134h |
Isogeny class |
Conductor |
106134 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1677312 |
Modular degree for the optimal curve |
Δ |
-387729832023023616 = -1 · 213 · 32 · 79 · 194 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7- 2 5 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,105766,26918676] |
[a1,a2,a3,a4,a6] |
j |
24880481/73728 |
j-invariant |
L |
0.84656585366569 |
L(r)(E,1)/r! |
Ω |
0.21164140207222 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106134z1 106134de1 |
Quadratic twists by: -7 -19 |