Atkin-Lehner |
2- 3- 5+ 23- 37- |
Signs for the Atkin-Lehner involutions |
Class |
127650dk |
Isogeny class |
Conductor |
127650 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
175104 |
Modular degree for the optimal curve |
Δ |
539674585200 = 24 · 34 · 52 · 233 · 372 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 1 1 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3953,-89223] |
[a1,a2,a3,a4,a6] |
Generators |
[-32:-53:1] |
Generators of the group modulo torsion |
j |
273256821906745/21586983408 |
j-invariant |
L |
15.577192660696 |
L(r)(E,1)/r! |
Ω |
0.60511406605142 |
Real period |
R |
0.26815179460716 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000049006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127650p1 |
Quadratic twists by: 5 |