Atkin-Lehner |
3- 5- 7+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
124425u |
Isogeny class |
Conductor |
124425 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
2469214125 = 36 · 53 · 73 · 79 |
Discriminant |
Eigenvalues |
2 3- 5- 7+ -3 3 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-10965,441931] |
[a1,a2,a3,a4,a6] |
Generators |
[482:5:8] |
Generators of the group modulo torsion |
j |
1599970881536/27097 |
j-invariant |
L |
12.812749890758 |
L(r)(E,1)/r! |
Ω |
1.3286816197909 |
Real period |
R |
2.4108013796277 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999706906 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13825e1 124425bb1 |
Quadratic twists by: -3 5 |