Atkin-Lehner |
2- 3+ 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
106560dt |
Isogeny class |
Conductor |
106560 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
8110080 |
Modular degree for the optimal curve |
Δ |
-1.2511600510501E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 0 -6 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14744268,-21797934192] |
[a1,a2,a3,a4,a6] |
Generators |
[104188517001410:20529767900708864:2656741625] |
Generators of the group modulo torsion |
j |
-68700855708416547/24248320000 |
j-invariant |
L |
3.0129429419692 |
L(r)(E,1)/r! |
Ω |
0.038521621510152 |
Real period |
R |
19.553583171994 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000071339 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106560m1 26640y1 106560ec1 |
Quadratic twists by: -4 8 -3 |