Atkin-Lehner |
2- 3+ 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
41280cp |
Isogeny class |
Conductor |
41280 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
337920 |
Modular degree for the optimal curve |
Δ |
-22291200000000000 = -1 · 217 · 34 · 511 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 0 -5 -4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,22015,-7079775] |
[a1,a2,a3,a4,a6] |
Generators |
[155:180:1] [245:3600:1] |
Generators of the group modulo torsion |
j |
9002230481662/170068359375 |
j-invariant |
L |
7.5788921921165 |
L(r)(E,1)/r! |
Ω |
0.18553830957261 |
Real period |
R |
0.46418324662327 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41280bo1 10320j1 123840fn1 |
Quadratic twists by: -4 8 -3 |