Atkin-Lehner |
2+ 3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
61152i |
Isogeny class |
Conductor |
61152 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
875520 |
Modular degree for the optimal curve |
Δ |
-6370938797633819136 = -1 · 29 · 319 · 77 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7- -1 13- 5 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-622120,224748868] |
[a1,a2,a3,a4,a6] |
Generators |
[-792:14834:1] |
Generators of the group modulo torsion |
j |
-442067613591752/105765793497 |
j-invariant |
L |
5.9003034708736 |
L(r)(E,1)/r! |
Ω |
0.22692983761581 |
Real period |
R |
6.5001406743872 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61152bz1 122304da1 8736h1 |
Quadratic twists by: -4 8 -7 |