Atkin-Lehner |
2+ 3+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
104742f |
Isogeny class |
Conductor |
104742 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
337920 |
Modular degree for the optimal curve |
Δ |
-16179730524144 = -1 · 24 · 33 · 11 · 237 |
Discriminant |
Eigenvalues |
2+ 3+ 2 4 11- -6 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,6249,-37683] |
[a1,a2,a3,a4,a6] |
Generators |
[81:957:1] |
Generators of the group modulo torsion |
j |
6751269/4048 |
j-invariant |
L |
7.0507936307429 |
L(r)(E,1)/r! |
Ω |
0.40572211501743 |
Real period |
R |
4.3445953550553 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999508582 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104742bf1 4554b1 |
Quadratic twists by: -3 -23 |