Atkin-Lehner |
2+ 3- 7- 19+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
74214g |
Isogeny class |
Conductor |
74214 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
2105217257472 = 212 · 38 · 7 · 192 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- -2 -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-14112,-637952] |
[a1,a2,a3,a4,a6] |
Generators |
[-67:92:1] |
Generators of the group modulo torsion |
j |
426362694234625/2887815168 |
j-invariant |
L |
4.6206501548969 |
L(r)(E,1)/r! |
Ω |
0.43820590350589 |
Real period |
R |
2.6361181564529 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000197 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24738h1 |
Quadratic twists by: -3 |