Atkin-Lehner |
2+ 5- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
40600i |
Isogeny class |
Conductor |
40600 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
44160 |
Modular degree for the optimal curve |
Δ |
-4874030000 = -1 · 24 · 54 · 75 · 29 |
Discriminant |
Eigenvalues |
2+ -1 5- 7- -2 6 -5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4383,113212] |
[a1,a2,a3,a4,a6] |
Generators |
[43:49:1] |
Generators of the group modulo torsion |
j |
-931402086400/487403 |
j-invariant |
L |
4.1908941336008 |
L(r)(E,1)/r! |
Ω |
1.3506048855997 |
Real period |
R |
0.31029756950272 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81200s1 40600l1 |
Quadratic twists by: -4 5 |