Atkin-Lehner |
2+ 3+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
2352a |
Isogeny class |
Conductor |
2352 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
3360 |
Modular degree for the optimal curve |
Δ |
-2868933924864 = -1 · 211 · 35 · 78 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7+ -3 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1944,73872] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:196:1] |
Generators of the group modulo torsion |
j |
68782/243 |
j-invariant |
L |
2.5666767707291 |
L(r)(E,1)/r! |
Ω |
0.57074731497439 |
Real period |
R |
0.37475381010542 |
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 |
1176d1 9408ck1 7056n1 58800cl1 |
Quadratic twists by: -4 8 -3 5 |