Atkin-Lehner |
2+ 5- 29+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
76850c |
Isogeny class |
Conductor |
76850 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
702720 |
Modular degree for the optimal curve |
Δ |
-9606250000 = -1 · 24 · 58 · 29 · 53 |
Discriminant |
Eigenvalues |
2+ -2 5- -4 3 5 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1088576,437064798] |
[a1,a2,a3,a4,a6] |
j |
-365207232239640985/24592 |
j-invariant |
L |
0.47563389738788 |
L(r)(E,1)/r! |
Ω |
0.71345085949774 |
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 |
76850i1 |
Quadratic twists by: 5 |