Atkin-Lehner |
2- 5+ 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
51940a |
Isogeny class |
Conductor |
51940 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
907200 |
Modular degree for the optimal curve |
Δ |
2.4108137962419E+19 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ 3 -1 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-812681,-153711550] |
[a1,a2,a3,a4,a6] |
Generators |
[-701:8427:1] |
Generators of the group modulo torsion |
j |
643546989051904/261372183125 |
j-invariant |
L |
8.2741338858014 |
L(r)(E,1)/r! |
Ω |
0.1647430704402 |
Real period |
R |
1.674149098478 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000076 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51940k1 |
Quadratic twists by: -7 |