Atkin-Lehner |
2+ 3+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
104742c |
Isogeny class |
Conductor |
104742 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
760320 |
Modular degree for the optimal curve |
Δ |
-517751376772608 = -1 · 29 · 33 · 11 · 237 |
Discriminant |
Eigenvalues |
2+ 3+ 0 3 11+ -1 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-395262,95753108] |
[a1,a2,a3,a4,a6] |
j |
-1708632808875/129536 |
j-invariant |
L |
1.9873267580076 |
L(r)(E,1)/r! |
Ω |
0.4968317280689 |
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 |
104742bi1 4554d1 |
Quadratic twists by: -3 -23 |