Atkin-Lehner |
2+ 3- 5- 17+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
126990y |
Isogeny class |
Conductor |
126990 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
30638080 |
Modular degree for the optimal curve |
Δ |
-2.6567205064979E+24 |
Discriminant |
Eigenvalues |
2+ 3- 5- -3 -3 -3 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-73222884,-253578749360] |
[a1,a2,a3,a4,a6] |
Generators |
[25311:3743407:1] |
Generators of the group modulo torsion |
j |
-59557529967112036078083649/3644335399860000000000 |
j-invariant |
L |
3.5686513128658 |
L(r)(E,1)/r! |
Ω |
0.025714126277559 |
Real period |
R |
6.9390870895723 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000222552 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42330w1 |
Quadratic twists by: -3 |