Atkin-Lehner |
2- 3+ 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
8580a |
Isogeny class |
Conductor |
8580 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
601920 |
Modular degree for the optimal curve |
Δ |
-5.003683702875E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 11- 13+ 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-53378781,-150093116919] |
[a1,a2,a3,a4,a6] |
Generators |
[28059:4521330:1] |
Generators of the group modulo torsion |
j |
-65703682316544535580729344/1954563946435546875 |
j-invariant |
L |
3.3985276460169 |
L(r)(E,1)/r! |
Ω |
0.027927150166444 |
Real period |
R |
6.7607002619353 |
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 |
34320bq1 25740f1 42900be1 94380f1 |
Quadratic twists by: -4 -3 5 -11 |