Atkin-Lehner |
2- 3+ 5- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
66300v |
Isogeny class |
Conductor |
66300 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
436800 |
Modular degree for the optimal curve |
Δ |
-27687211500000000 = -1 · 28 · 3 · 59 · 13 · 175 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 -4 13- 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,37667,-7507463] |
[a1,a2,a3,a4,a6] |
Generators |
[3192:180625:1] |
Generators of the group modulo torsion |
j |
11820212224/55374423 |
j-invariant |
L |
4.3260248884889 |
L(r)(E,1)/r! |
Ω |
0.18879067309281 |
Real period |
R |
2.2914399412675 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996592 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66300bk1 |
Quadratic twists by: 5 |