Atkin-Lehner |
2+ 3- 5- 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
49590x |
Isogeny class |
Conductor |
49590 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-10022822945280 = -1 · 29 · 39 · 5 · 193 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 -3 -4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5274,213300] |
[a1,a2,a3,a4,a6] |
Generators |
[39:-276:1] |
Generators of the group modulo torsion |
j |
-22256807990689/13748728320 |
j-invariant |
L |
3.5930567304739 |
L(r)(E,1)/r! |
Ω |
0.67059404436684 |
Real period |
R |
0.44650171995814 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000089 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16530y1 |
Quadratic twists by: -3 |