Atkin-Lehner |
2- 3- 5- 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
43290ca |
Isogeny class |
Conductor |
43290 |
Conductor |
∏ cp |
176 |
Product of Tamagawa factors cp |
deg |
540672 |
Modular degree for the optimal curve |
Δ |
26804026972569600 = 222 · 312 · 52 · 13 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 6 13- -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-96467,8447091] |
[a1,a2,a3,a4,a6] |
Generators |
[371:-5046:1] |
Generators of the group modulo torsion |
j |
136184688373512169/36768212582400 |
j-invariant |
L |
11.17677488471 |
L(r)(E,1)/r! |
Ω |
0.35051226325051 |
Real period |
R |
0.7247039195164 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999973 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14430g1 |
Quadratic twists by: -3 |