Atkin-Lehner |
2- 5- 37+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
98050t |
Isogeny class |
Conductor |
98050 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
87552 |
Modular degree for the optimal curve |
Δ |
-125504000 = -1 · 29 · 53 · 37 · 53 |
Discriminant |
Eigenvalues |
2- -3 5- 3 3 4 7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,30,-543] |
[a1,a2,a3,a4,a6] |
Generators |
[9:15:1] |
Generators of the group modulo torsion |
j |
24642171/1004032 |
j-invariant |
L |
8.1040223662729 |
L(r)(E,1)/r! |
Ω |
0.89147552172946 |
Real period |
R |
0.50503177507374 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999915401 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98050i1 |
Quadratic twists by: 5 |