Atkin-Lehner |
2+ 3- 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
124722q |
Isogeny class |
Conductor |
124722 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1038336 |
Modular degree for the optimal curve |
Δ |
-66282384402 = -1 · 2 · 314 · 132 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 0 5 0 13+ 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-395082,95681470] |
[a1,a2,a3,a4,a6] |
Generators |
[2886:-811:8] |
Generators of the group modulo torsion |
j |
-55356908515533625/538002 |
j-invariant |
L |
6.8873211900633 |
L(r)(E,1)/r! |
Ω |
0.7685020220483 |
Real period |
R |
4.4810039178596 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000067806 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41574k1 124722bl1 |
Quadratic twists by: -3 13 |