Atkin-Lehner |
2+ 3- 5- 23- 37- |
Signs for the Atkin-Lehner involutions |
Class |
127650bt |
Isogeny class |
Conductor |
127650 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
643680 |
Modular degree for the optimal curve |
Δ |
-18991926562500 = -1 · 22 · 33 · 58 · 233 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5- 5 -6 -4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1076,-210202] |
[a1,a2,a3,a4,a6] |
Generators |
[263:4077:1] |
Generators of the group modulo torsion |
j |
-352224985/48619332 |
j-invariant |
L |
5.9999555921718 |
L(r)(E,1)/r! |
Ω |
0.30524400801584 |
Real period |
R |
3.2760433499112 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999613475 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
127650cd1 |
Quadratic twists by: 5 |