Atkin-Lehner |
2+ 3+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
121968c |
Isogeny class |
Conductor |
121968 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-9663890544 = -1 · 24 · 33 · 75 · 113 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7+ 11+ -7 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,429,-3267] |
[a1,a2,a3,a4,a6] |
Generators |
[66:231:8] |
Generators of the group modulo torsion |
j |
15185664/16807 |
j-invariant |
L |
7.9597754298855 |
L(r)(E,1)/r! |
Ω |
0.69777476702942 |
Real period |
R |
2.8518426973853 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999180819 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60984br1 121968d1 121968m1 |
Quadratic twists by: -4 -3 -11 |