Atkin-Lehner |
2- 3+ 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
73200bs |
Isogeny class |
Conductor |
73200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-237168000000000 = -1 · 213 · 35 · 59 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 -2 -1 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10008,838512] |
[a1,a2,a3,a4,a6] |
Generators |
[82:750:1] |
Generators of the group modulo torsion |
j |
-1732323601/3705750 |
j-invariant |
L |
5.7979045290562 |
L(r)(E,1)/r! |
Ω |
0.49471563324118 |
Real period |
R |
1.4649588923421 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000479 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9150m1 14640bn1 |
Quadratic twists by: -4 5 |