Atkin-Lehner |
2+ 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
129960w |
Isogeny class |
Conductor |
129960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12579840 |
Modular degree for the optimal curve |
Δ |
6.9355729078037E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 5 4 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-24808908,45843131828] |
[a1,a2,a3,a4,a6] |
Generators |
[-3974:285786:1] |
Generators of the group modulo torsion |
j |
25065245484338062336/1029455660473245 |
j-invariant |
L |
6.049263815565 |
L(r)(E,1)/r! |
Ω |
0.1086789601512 |
Real period |
R |
6.9577218724465 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999844857 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43320x1 129960bz1 |
Quadratic twists by: -3 -19 |