Atkin-Lehner |
2+ 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
17640bi |
Isogeny class |
Conductor |
17640 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
231612061583019600 = 24 · 315 · 52 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -4 -2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20248662,35070545041] |
[a1,a2,a3,a4,a6] |
j |
1950665639360512/492075 |
j-invariant |
L |
2.0026907149719 |
L(r)(E,1)/r! |
Ω |
0.25033633937149 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35280cn1 5880bd1 88200gy1 17640v1 |
Quadratic twists by: -4 -3 5 -7 |