Atkin-Lehner |
2- 3- 23+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
10074r |
Isogeny class |
Conductor |
10074 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2048 |
Modular degree for the optimal curve |
Δ |
-2175984 = -1 · 24 · 34 · 23 · 73 |
Discriminant |
Eigenvalues |
2- 3- 2 0 4 -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,23,-55] |
[a1,a2,a3,a4,a6] |
j |
1341919727/2175984 |
j-invariant |
L |
5.487348455136 |
L(r)(E,1)/r! |
Ω |
1.371837113784 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
80592r1 30222b1 |
Quadratic twists by: -4 -3 |