Atkin-Lehner |
5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
10045g |
Isogeny class |
Conductor |
10045 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
-168826315 = -1 · 5 · 77 · 41 |
Discriminant |
Eigenvalues |
-2 -2 5+ 7- -4 0 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-16,620] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:25:1] [2:24:1] |
Generators of the group modulo torsion |
j |
-4096/1435 |
j-invariant |
L |
2.2630012046893 |
L(r)(E,1)/r! |
Ω |
1.4714750828304 |
Real period |
R |
0.38447834270083 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90405bz1 50225g1 1435b1 |
Quadratic twists by: -3 5 -7 |