Atkin-Lehner |
2- 3- 5+ 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
74550df |
Isogeny class |
Conductor |
74550 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-444018355593750 = -1 · 2 · 35 · 56 · 77 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 2 -4 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-215138,38403642] |
[a1,a2,a3,a4,a6] |
j |
-70478263190049625/28417174758 |
j-invariant |
L |
5.1946856504947 |
L(r)(E,1)/r! |
Ω |
0.51946856364753 |
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 |
2982a1 |
Quadratic twists by: 5 |