Atkin-Lehner |
3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
28665bd |
Isogeny class |
Conductor |
28665 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
113427162051999705 = 39 · 5 · 79 · 134 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 4 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-450270,-115047185] |
[a1,a2,a3,a4,a6] |
j |
117713838907729/1322517105 |
j-invariant |
L |
2.9508429903336 |
L(r)(E,1)/r! |
Ω |
0.1844276868959 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9555l1 4095m1 |
Quadratic twists by: -3 -7 |