Atkin-Lehner |
2- 7- 19- 59- |
Signs for the Atkin-Lehner involutions |
Class |
109858t |
Isogeny class |
Conductor |
109858 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2161152 |
Modular degree for the optimal curve |
Δ |
-1224384872029290496 = -1 · 216 · 710 · 19 · 592 |
Discriminant |
Eigenvalues |
2- 2 1 7- -3 0 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-576290,-176842961] |
[a1,a2,a3,a4,a6] |
Generators |
[1109:22887:1] |
Generators of the group modulo torsion |
j |
-74931876714289/4334485504 |
j-invariant |
L |
16.950392689516 |
L(r)(E,1)/r! |
Ω |
0.086348401139381 |
Real period |
R |
6.1344479352219 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008839 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109858j1 |
Quadratic twists by: -7 |