Atkin-Lehner |
2- 3+ 5- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
73200bx |
Isogeny class |
Conductor |
73200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
677376 |
Modular degree for the optimal curve |
Δ |
-326697751236096000 = -1 · 212 · 321 · 53 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 4 4 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,79307,26095357] |
[a1,a2,a3,a4,a6] |
Generators |
[-30472428:818726425:226981] |
Generators of the group modulo torsion |
j |
107741456072704/638081545383 |
j-invariant |
L |
5.9756552067632 |
L(r)(E,1)/r! |
Ω |
0.22048806702349 |
Real period |
R |
13.55097191559 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999980712 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4575g1 73200cx1 |
Quadratic twists by: -4 5 |