Atkin-Lehner |
2- 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
103488fw |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
215151552 = 26 · 34 · 73 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 11- 0 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1108,14554] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:154:1] [35:132:1] |
Generators of the group modulo torsion |
j |
6859000000/9801 |
j-invariant |
L |
10.199914979065 |
L(r)(E,1)/r! |
Ω |
1.7723704854955 |
Real period |
R |
2.8774782312576 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999995997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103488hh1 51744bf2 103488ie1 |
Quadratic twists by: -4 8 -7 |