Atkin-Lehner |
3- 5- 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
51675be |
Isogeny class |
Conductor |
51675 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
145920 |
Modular degree for the optimal curve |
Δ |
330563683125 = 310 · 54 · 132 · 53 |
Discriminant |
Eigenvalues |
-2 3- 5- -5 -1 13- -5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-2158,26194] |
[a1,a2,a3,a4,a6] |
Generators |
[47:-176:1] [-326:1751:8] |
Generators of the group modulo torsion |
j |
1779095449600/528901893 |
j-invariant |
L |
5.1610910268227 |
L(r)(E,1)/r! |
Ω |
0.89395619310906 |
Real period |
R |
0.096221922778169 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999969 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51675e1 |
Quadratic twists by: 5 |