Atkin-Lehner |
2- 5+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
41200bf |
Isogeny class |
Conductor |
41200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
-128750000 = -1 · 24 · 57 · 103 |
Discriminant |
Eigenvalues |
2- 1 5+ 0 4 -2 -8 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-33,-562] |
[a1,a2,a3,a4,a6] |
Generators |
[74:25:8] |
Generators of the group modulo torsion |
j |
-16384/515 |
j-invariant |
L |
6.8254521188051 |
L(r)(E,1)/r! |
Ω |
0.80601210708023 |
Real period |
R |
2.1170439187099 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10300a1 8240h1 |
Quadratic twists by: -4 5 |