Atkin-Lehner |
2- 5+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
129850ck |
Isogeny class |
Conductor |
129850 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
26574912 |
Modular degree for the optimal curve |
Δ |
1.2822289262265E+24 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- -6 -4 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-29095368,-26095076288] |
[a1,a2,a3,a4,a6] |
Generators |
[-4194:150974:1] |
Generators of the group modulo torsion |
j |
385722406723019065/181570446368768 |
j-invariant |
L |
3.8013186173543 |
L(r)(E,1)/r! |
Ω |
0.068054863852862 |
Real period |
R |
2.148333649232 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000560648 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129850bi1 129850bm1 |
Quadratic twists by: 5 -7 |