Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
17640v |
Isogeny class |
Conductor |
17640 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
1968670040400 = 24 · 315 · 52 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-413238,-102246487] |
[a1,a2,a3,a4,a6] |
Generators |
[2716:137151:1] |
Generators of the group modulo torsion |
j |
1950665639360512/492075 |
j-invariant |
L |
4.2306108716672 |
L(r)(E,1)/r! |
Ω |
0.18829964381388 |
Real period |
R |
5.6168598967836 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35280bp1 5880y1 88200hc1 17640bi1 |
Quadratic twists by: -4 -3 5 -7 |