Atkin-Lehner |
2+ 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
81600dl |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
225792 |
Modular degree for the optimal curve |
Δ |
-35208334540800 = -1 · 217 · 37 · 52 · 173 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -2 -6 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6753,354303] |
[a1,a2,a3,a4,a6] |
Generators |
[99:-816:1] |
Generators of the group modulo torsion |
j |
-10395091970/10744731 |
j-invariant |
L |
6.8102380170917 |
L(r)(E,1)/r! |
Ω |
0.59367551296267 |
Real period |
R |
0.1365632577956 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999980974 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81600gb1 10200d1 81600bl1 |
Quadratic twists by: -4 8 5 |