Atkin-Lehner |
3+ 5+ 7+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
124425b |
Isogeny class |
Conductor |
124425 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
359424 |
Modular degree for the optimal curve |
Δ |
490127572265625 = 33 · 59 · 76 · 79 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7+ 2 0 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-24005,962372] |
[a1,a2,a3,a4,a6] |
Generators |
[-111:1555:1] |
Generators of the group modulo torsion |
j |
3626002437147/1161783875 |
j-invariant |
L |
3.9620275071399 |
L(r)(E,1)/r! |
Ω |
0.48414658071295 |
Real period |
R |
2.0458821953048 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000074574 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124425a1 24885a1 |
Quadratic twists by: -3 5 |