Atkin-Lehner |
2- 3+ 5- 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
122010ci |
Isogeny class |
Conductor |
122010 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
1179648 |
Modular degree for the optimal curve |
Δ |
21166356956774400 = 216 · 33 · 52 · 78 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 2 -4 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-91190,7920947] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:3451:1] |
Generators of the group modulo torsion |
j |
712815962958289/179911065600 |
j-invariant |
L |
10.296010913938 |
L(r)(E,1)/r! |
Ω |
0.35879908014175 |
Real period |
R |
0.89674238343641 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999614435 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17430bf1 |
Quadratic twists by: -7 |