Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
30576dc |
Isogeny class |
Conductor |
30576 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
90247452352512 = 213 · 3 · 710 · 13 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 4 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-326944,71844212] |
[a1,a2,a3,a4,a6] |
Generators |
[556:7890:1] |
Generators of the group modulo torsion |
j |
8020417344913/187278 |
j-invariant |
L |
5.8404935226502 |
L(r)(E,1)/r! |
Ω |
0.55839172185869 |
Real period |
R |
5.2297457985312 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3822x3 122304fi4 91728fo4 4368o3 |
Quadratic twists by: -4 8 -3 -7 |