Atkin-Lehner |
2+ 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
121968p |
Isogeny class |
Conductor |
121968 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
-838888408204940016 = -1 · 24 · 33 · 77 · 119 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7- 11- -3 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,98373,42436273] |
[a1,a2,a3,a4,a6] |
Generators |
[264:9317:1] |
Generators of the group modulo torsion |
j |
137566156032/1096135733 |
j-invariant |
L |
7.2290045668764 |
L(r)(E,1)/r! |
Ω |
0.2057311413613 |
Real period |
R |
0.62746634432477 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006345 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60984d1 121968s1 11088e1 |
Quadratic twists by: -4 -3 -11 |