Atkin-Lehner |
2+ 3+ 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
81600ck |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-94003200000000 = -1 · 219 · 33 · 58 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 2 -6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4833,-482463] |
[a1,a2,a3,a4,a6] |
Generators |
[617:15200:1] |
Generators of the group modulo torsion |
j |
-121945/918 |
j-invariant |
L |
6.4079869887751 |
L(r)(E,1)/r! |
Ω |
0.25306776614487 |
Real period |
R |
2.1101024572379 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010136 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81600kb1 2550q1 81600dh1 |
Quadratic twists by: -4 8 5 |