Atkin-Lehner |
2- 3- 5+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
72450dp |
Isogeny class |
Conductor |
72450 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
17857106505000000 = 26 · 39 · 57 · 73 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -6 -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-230855,-42148353] |
[a1,a2,a3,a4,a6] |
Generators |
[-271:810:1] |
Generators of the group modulo torsion |
j |
119451676585249/1567702080 |
j-invariant |
L |
8.2198908261811 |
L(r)(E,1)/r! |
Ω |
0.21797653379498 |
Real period |
R |
0.78562459237664 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002049 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24150g1 14490bf1 |
Quadratic twists by: -3 5 |