Atkin-Lehner |
2+ 3- 5+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
72450x |
Isogeny class |
Conductor |
72450 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
569423039062500 = 22 · 39 · 59 · 7 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 2 6 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-114192,14836716] |
[a1,a2,a3,a4,a6] |
j |
14457238157881/49990500 |
j-invariant |
L |
2.0791002290335 |
L(r)(E,1)/r! |
Ω |
0.51977505538932 |
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 |
24150ch1 14490br1 |
Quadratic twists by: -3 5 |