Atkin-Lehner |
2- 3- 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
72450ep |
Isogeny class |
Conductor |
72450 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
3317760 |
Modular degree for the optimal curve |
Δ |
3.35859374592E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 2 6 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1879880,455172747] |
[a1,a2,a3,a4,a6] |
Generators |
[-1171:32985:1] |
Generators of the group modulo torsion |
j |
64500981545311921/29485596672000 |
j-invariant |
L |
11.346100304095 |
L(r)(E,1)/r! |
Ω |
0.15325051848862 |
Real period |
R |
1.0282818486642 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990825 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24150i1 14490h1 |
Quadratic twists by: -3 5 |