Atkin-Lehner |
2+ 3- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
105966y |
Isogeny class |
Conductor |
105966 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
76838400 |
Modular degree for the optimal curve |
Δ |
-7.8861372896356E+27 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -5 4 5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-490278348,-5976009007920] |
[a1,a2,a3,a4,a6] |
Generators |
[3696264723367600468462780844443392501113640:443360282819056008838082166191159082865059060:108532450994588036841712467413517514489] |
Generators of the group modulo torsion |
j |
-42495637383193/25713241344 |
j-invariant |
L |
4.1636980770193 |
L(r)(E,1)/r! |
Ω |
0.01561088671567 |
Real period |
R |
66.679397411165 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35322bg1 105966ck1 |
Quadratic twists by: -3 29 |