Atkin-Lehner |
2+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
47432j |
Isogeny class |
Conductor |
47432 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
-2214439434453444352 = -1 · 28 · 79 · 118 |
Discriminant |
Eigenvalues |
2+ 2 4 7- 11- -2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-594876,190758548] |
[a1,a2,a3,a4,a6] |
Generators |
[-14882835438:179107026560:17779581] |
Generators of the group modulo torsion |
j |
-1272112/121 |
j-invariant |
L |
11.2725106245 |
L(r)(E,1)/r! |
Ω |
0.25381908515294 |
Real period |
R |
11.102898958255 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999832 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
94864z1 47432l1 4312k1 |
Quadratic twists by: -4 -7 -11 |