Atkin-Lehner |
2+ 3- 61- |
Signs for the Atkin-Lehner involutions |
Class |
66978i |
Isogeny class |
Conductor |
66978 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3864960 |
Modular degree for the optimal curve |
Δ |
-5.4560208010727E+20 |
Discriminant |
Eigenvalues |
2+ 3- -3 -3 3 -5 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-553266,1135064596] |
[a1,a2,a3,a4,a6] |
Generators |
[14900:2035379:64] |
Generators of the group modulo torsion |
j |
-2197/64 |
j-invariant |
L |
3.1905175798687 |
L(r)(E,1)/r! |
Ω |
0.13725996255121 |
Real period |
R |
2.9055428122571 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999970469 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7442c1 66978r1 |
Quadratic twists by: -3 61 |