Atkin-Lehner |
2+ 3+ 19- 61- |
Signs for the Atkin-Lehner involutions |
Class |
27816d |
Isogeny class |
Conductor |
27816 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
24127488 |
Modular degree for the optimal curve |
Δ |
-5.0515717509442E+29 |
Discriminant |
Eigenvalues |
2+ 3+ 1 1 -1 -1 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3476259560,85982659099164] |
[a1,a2,a3,a4,a6] |
Generators |
[-1068762110:149673448917:17576] |
Generators of the group modulo torsion |
j |
-4536911881900487510212279980964/493317553803140692381488669 |
j-invariant |
L |
5.1263197403294 |
L(r)(E,1)/r! |
Ω |
0.028621168070613 |
Real period |
R |
3.7314454693129 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55632c1 83448p1 |
Quadratic twists by: -4 -3 |