Atkin-Lehner |
3+ 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
23595d |
Isogeny class |
Conductor |
23595 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
1.1761112420072E+29 |
Discriminant |
Eigenvalues |
1 3+ 5- 0 11- 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1692459067,21117080487496] |
[a1,a2,a3,a4,a6] |
Generators |
[2339182049746743880872:-3884963696958931780704536:943703756265316311] |
Generators of the group modulo torsion |
j |
302637069626404192074729361/66388413495623699390625 |
j-invariant |
L |
5.1389732645001 |
L(r)(E,1)/r! |
Ω |
0.031321810627883 |
Real period |
R |
27.345020192444 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
70785n6 117975bz6 2145e5 |
Quadratic twists by: -3 5 -11 |