Atkin-Lehner |
2+ 7+ 17- 67- |
Signs for the Atkin-Lehner involutions |
Class |
127568j |
Isogeny class |
Conductor |
127568 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
491365401856 = 28 · 73 · 174 · 67 |
Discriminant |
Eigenvalues |
2+ -1 -1 7+ -4 1 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4676,-116816] |
[a1,a2,a3,a4,a6] |
Generators |
[-40:68:1] |
Generators of the group modulo torsion |
j |
44177397542224/1919396101 |
j-invariant |
L |
3.8873080071875 |
L(r)(E,1)/r! |
Ω |
0.57887903294874 |
Real period |
R |
0.83940421327521 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000034257 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63784i1 |
Quadratic twists by: -4 |