Atkin-Lehner |
2- 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
30576br |
Isogeny class |
Conductor |
30576 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1231083201226604544 = 220 · 310 · 76 · 132 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 4 13+ -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1018824,392542704] |
[a1,a2,a3,a4,a6] |
Generators |
[-1036:18304:1] |
Generators of the group modulo torsion |
j |
242702053576633/2554695936 |
j-invariant |
L |
3.6848081807665 |
L(r)(E,1)/r! |
Ω |
0.27410662523549 |
Real period |
R |
3.3607434493792 |
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 |
3822m2 122304ij2 91728ei2 624i2 |
Quadratic twists by: -4 8 -3 -7 |