Atkin-Lehner |
2- 3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
30576cg |
Isogeny class |
Conductor |
30576 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
5483520 |
Modular degree for the optimal curve |
Δ |
-3.5902252660933E+23 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- -1 13- -7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-78779472,-270646784064] |
[a1,a2,a3,a4,a6] |
j |
-112205650221491190337/745029571313664 |
j-invariant |
L |
0.5065519496215 |
L(r)(E,1)/r! |
Ω |
0.025327597481168 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3822bg1 122304hn1 91728fy1 4368y1 |
Quadratic twists by: -4 8 -3 -7 |