Atkin-Lehner |
2- 3+ 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
73200bq |
Isogeny class |
Conductor |
73200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1.1778497310553E+27 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-320182008,-1461502873488] |
[a1,a2,a3,a4,a6] |
Generators |
[-844796789638556:-79304593110368263:122319393344] |
Generators of the group modulo torsion |
j |
56719776559071967726321/18403902047738976000 |
j-invariant |
L |
6.0197225137318 |
L(r)(E,1)/r! |
Ω |
0.036611328449534 |
Real period |
R |
20.552800072776 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002585 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9150j4 14640bl3 |
Quadratic twists by: -4 5 |