Atkin-Lehner |
2- 3+ 5+ 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
73260a |
Isogeny class |
Conductor |
73260 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
3786440238281250000 = 24 · 39 · 512 · 113 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 11+ 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-583848,143943453] |
[a1,a2,a3,a4,a6] |
Generators |
[25029970565303834592:-517724503102650390625:27837962456629248] |
Generators of the group modulo torsion |
j |
69889482952409088/12023193359375 |
j-invariant |
L |
6.4772908453207 |
L(r)(E,1)/r! |
Ω |
0.23703115585366 |
Real period |
R |
27.326748763069 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000445 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73260e1 |
Quadratic twists by: -3 |