Atkin-Lehner |
2- 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
43400o |
Isogeny class |
Conductor |
43400 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
13934592 |
Modular degree for the optimal curve |
Δ |
-6.8834459477433E+26 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 3 -1 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-205772033,-1698355763437] |
[a1,a2,a3,a4,a6] |
Generators |
[27523903:2262626450:1331] |
Generators of the group modulo torsion |
j |
-240892216689399984415744/172086148693581998435 |
j-invariant |
L |
6.9491802755534 |
L(r)(E,1)/r! |
Ω |
0.019323580921562 |
Real period |
R |
2.4973733674861 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86800h1 8680a1 |
Quadratic twists by: -4 5 |