Atkin-Lehner |
2+ 5- 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
124270q |
Isogeny class |
Conductor |
124270 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1257984 |
Modular degree for the optimal curve |
Δ |
18068032449536000 = 213 · 53 · 177 · 43 |
Discriminant |
Eigenvalues |
2+ -2 5- -3 0 -1 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-109393,-12342492] |
[a1,a2,a3,a4,a6] |
Generators |
[-146:795:1] |
Generators of the group modulo torsion |
j |
5997815120809/748544000 |
j-invariant |
L |
2.4695808219165 |
L(r)(E,1)/r! |
Ω |
0.26466544059082 |
Real period |
R |
1.5551588474331 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000051219 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7310g1 |
Quadratic twists by: 17 |