Atkin-Lehner |
2+ 3- 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
124950cl |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
2612736 |
Modular degree for the optimal curve |
Δ |
7715863309644000000 = 28 · 39 · 56 · 78 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -2 -1 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-498601,-22461652] |
[a1,a2,a3,a4,a6] |
Generators |
[-437:10802:1] |
Generators of the group modulo torsion |
j |
152186997697/85660416 |
j-invariant |
L |
6.0118379637411 |
L(r)(E,1)/r! |
Ω |
0.19337940056199 |
Real period |
R |
0.57570936484104 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000071049 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4998y1 124950n1 |
Quadratic twists by: 5 -7 |