Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
30576dc |
Isogeny class |
Conductor |
30576 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
143659209867264 = 214 · 32 · 78 · 132 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 4 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-21184,1030196] |
[a1,a2,a3,a4,a6] |
Generators |
[-68:1470:1] |
Generators of the group modulo torsion |
j |
2181825073/298116 |
j-invariant |
L |
5.8404935226502 |
L(r)(E,1)/r! |
Ω |
0.55839172185869 |
Real period |
R |
2.6148728992656 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3822x2 122304fi2 91728fo2 4368o2 |
Quadratic twists by: -4 8 -3 -7 |