Atkin-Lehner |
5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
10045b |
Isogeny class |
Conductor |
10045 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-5170305896875 = -1 · 55 · 79 · 41 |
Discriminant |
Eigenvalues |
0 0 5+ 7- 0 -4 -2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,4312,9518] |
[a1,a2,a3,a4,a6] |
Generators |
[14:269:1] [42:514:1] |
Generators of the group modulo torsion |
j |
75365351424/43946875 |
j-invariant |
L |
4.8455182521795 |
L(r)(E,1)/r! |
Ω |
0.46261761331869 |
Real period |
R |
2.6185331646906 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90405bp1 50225b1 1435a1 |
Quadratic twists by: -3 5 -7 |