Atkin-Lehner |
2- 3+ 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
62304t |
Isogeny class |
Conductor |
62304 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
296068608 = 29 · 34 · 112 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 2 -4 11+ -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-76152,-8063208] |
[a1,a2,a3,a4,a6] |
Generators |
[39081471:6696389070:1331] |
Generators of the group modulo torsion |
j |
95390120097279944/578259 |
j-invariant |
L |
4.0206666510458 |
L(r)(E,1)/r! |
Ω |
0.28739469756497 |
Real period |
R |
13.990051608531 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000233 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62304l4 124608bq4 |
Quadratic twists by: -4 8 |