Atkin-Lehner |
2- 3- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
67626u |
Isogeny class |
Conductor |
67626 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
7372800 |
Modular degree for the optimal curve |
Δ |
5.1660177142039E+23 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 -4 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-49706465,130390498865] |
[a1,a2,a3,a4,a6] |
Generators |
[-8045:101704:1] |
Generators of the group modulo torsion |
j |
771864882375147625/29358565696512 |
j-invariant |
L |
8.0499829718052 |
L(r)(E,1)/r! |
Ω |
0.0920474064759 |
Real period |
R |
2.1863687636676 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999804 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22542i1 3978i1 |
Quadratic twists by: -3 17 |