Atkin-Lehner |
2+ 37- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
3034a |
Isogeny class |
Conductor |
3034 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
672 |
Modular degree for the optimal curve |
Δ |
-33228368 = -1 · 24 · 373 · 41 |
Discriminant |
Eigenvalues |
2+ 1 0 -4 -3 -1 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,79,-44] |
[a1,a2,a3,a4,a6] |
j |
55524368375/33228368 |
j-invariant |
L |
0.80608723925944 |
L(r)(E,1)/r! |
Ω |
1.2091308588892 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
24272e1 97088c1 27306j1 75850i1 |
Quadratic twists by: -4 8 -3 5 |