Atkin-Lehner |
3+ 5- 11+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
83325l |
Isogeny class |
Conductor |
83325 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
185760 |
Modular degree for the optimal curve |
Δ |
-1446469921875 = -1 · 3 · 58 · 112 · 1012 |
Discriminant |
Eigenvalues |
2 3+ 5- -3 11+ -5 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-208,-57807] |
[a1,a2,a3,a4,a6] |
Generators |
[618:4935:8] |
Generators of the group modulo torsion |
j |
-2560000/3702963 |
j-invariant |
L |
7.4343356029932 |
L(r)(E,1)/r! |
Ω |
0.38493211691556 |
Real period |
R |
4.8283419805419 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005305 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83325q1 |
Quadratic twists by: 5 |