Atkin-Lehner |
2+ 3- 13- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
75582l |
Isogeny class |
Conductor |
75582 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
2.6071343497544E+26 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 4 13- 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-369693558,-2623267060700] |
[a1,a2,a3,a4,a6] |
Generators |
[215592:99583406:1] |
Generators of the group modulo torsion |
j |
7665170743772058912617300833/357631598045872425624336 |
j-invariant |
L |
3.9365443815788 |
L(r)(E,1)/r! |
Ω |
0.034529670812261 |
Real period |
R |
9.5003907525844 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999956401 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
25194u2 |
Quadratic twists by: -3 |