Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
17640r |
Isogeny class |
Conductor |
17640 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-868020300000000 = -1 · 28 · 311 · 58 · 72 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -2 -5 4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3108,-1419068] |
[a1,a2,a3,a4,a6] |
Generators |
[506:11250:1] |
Generators of the group modulo torsion |
j |
-363080704/94921875 |
j-invariant |
L |
4.2174026423654 |
L(r)(E,1)/r! |
Ω |
0.22335666641145 |
Real period |
R |
1.1801199820124 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35280bh1 5880bi1 88200gp1 17640ba1 |
Quadratic twists by: -4 -3 5 -7 |