Atkin-Lehner |
5- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
10045m |
Isogeny class |
Conductor |
10045 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
38016 |
Modular degree for the optimal curve |
Δ |
-46171685546875 = -1 · 59 · 73 · 413 |
Discriminant |
Eigenvalues |
-2 0 5- 7- -2 -6 -6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-6167,376332] |
[a1,a2,a3,a4,a6] |
Generators |
[-63:717:1] [-33:737:1] |
Generators of the group modulo torsion |
j |
-75622570831872/134611328125 |
j-invariant |
L |
3.3272479272207 |
L(r)(E,1)/r! |
Ω |
0.57025759858381 |
Real period |
R |
0.10804889318257 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90405s1 50225m1 10045f1 |
Quadratic twists by: -3 5 -7 |