Atkin-Lehner |
2- 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
72600dl |
Isogeny class |
Conductor |
72600 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-2122152921900000000 = -1 · 28 · 32 · 58 · 119 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 11+ -2 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,11092,-70083312] |
[a1,a2,a3,a4,a6] |
Generators |
[778:20250:1] |
Generators of the group modulo torsion |
j |
16/225 |
j-invariant |
L |
6.0480203295593 |
L(r)(E,1)/r! |
Ω |
0.12040719669509 |
Real period |
R |
3.1393577878906 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999982707 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14520b2 72600be2 |
Quadratic twists by: 5 -11 |