Atkin-Lehner |
2+ 3+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
121968i |
Isogeny class |
Conductor |
121968 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5529600 |
Modular degree for the optimal curve |
Δ |
-3.0819453394148E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7+ 11- 3 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14547951,-21359191887] |
[a1,a2,a3,a4,a6] |
j |
-610325920583424/55240493 |
j-invariant |
L |
4.9473958728338 |
L(r)(E,1)/r! |
Ω |
0.038651534749383 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60984bu1 121968j1 11088h1 |
Quadratic twists by: -4 -3 -11 |