Atkin-Lehner |
2+ 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
129960z |
Isogeny class |
Conductor |
129960 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-17680914524160 = -1 · 211 · 314 · 5 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 3 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7923,338542] |
[a1,a2,a3,a4,a6] |
Generators |
[1778:74880:1] |
Generators of the group modulo torsion |
j |
-102053522/32805 |
j-invariant |
L |
8.3584706775586 |
L(r)(E,1)/r! |
Ω |
0.65324597310145 |
Real period |
R |
6.3976442548273 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999808043 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43320bi1 129960cc1 |
Quadratic twists by: -3 -19 |