Atkin-Lehner |
2+ 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050es |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
2513280 |
Modular degree for the optimal curve |
Δ |
-705912947940816000 = -1 · 27 · 35 · 53 · 7 · 1110 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11- 6 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-154036,-46655182] |
[a1,a2,a3,a4,a6] |
Generators |
[2302:107471:1] |
Generators of the group modulo torsion |
j |
-124666421/217728 |
j-invariant |
L |
7.0157824985579 |
L(r)(E,1)/r! |
Ω |
0.1137831070213 |
Real period |
R |
6.1659262292892 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000083001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127050gq1 127050ja1 |
Quadratic twists by: 5 -11 |