Atkin-Lehner |
2+ 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
76050cy |
Isogeny class |
Conductor |
76050 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
658944 |
Modular degree for the optimal curve |
Δ |
-1784003086827000 = -1 · 23 · 37 · 53 · 138 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 -5 13+ -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-84447,-9640539] |
[a1,a2,a3,a4,a6] |
Generators |
[999:29538:1] |
Generators of the group modulo torsion |
j |
-895973/24 |
j-invariant |
L |
2.8851542387115 |
L(r)(E,1)/r! |
Ω |
0.13980954085787 |
Real period |
R |
5.159079671173 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999994482 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25350dn1 76050gc1 76050gb1 |
Quadratic twists by: -3 5 13 |