Atkin-Lehner |
2+ 3- 5- 41- |
Signs for the Atkin-Lehner involutions |
Class |
14760k |
Isogeny class |
Conductor |
14760 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
13312 |
Modular degree for the optimal curve |
Δ |
-14346720000 = -1 · 28 · 37 · 54 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 -3 -4 -7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-732,9556] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:90:1] [-18:130:1] |
Generators of the group modulo torsion |
j |
-232428544/76875 |
j-invariant |
L |
6.4415751754187 |
L(r)(E,1)/r! |
Ω |
1.1810124544579 |
Real period |
R |
0.085223158939615 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29520t1 118080bu1 4920h1 73800co1 |
Quadratic twists by: -4 8 -3 5 |