Atkin-Lehner |
2+ 7- 19+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
12502a |
Isogeny class |
Conductor |
12502 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
3360 |
Modular degree for the optimal curve |
Δ |
23278724 = 22 · 73 · 192 · 47 |
Discriminant |
Eigenvalues |
2+ 0 -2 7- -2 -6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-323,2305] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:71:1] |
Generators of the group modulo torsion |
j |
3733252610697/23278724 |
j-invariant |
L |
2.4034993506121 |
L(r)(E,1)/r! |
Ω |
2.1478180387592 |
Real period |
R |
0.3730141174654 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100016m1 112518be1 87514c1 |
Quadratic twists by: -4 -3 -7 |