Atkin-Lehner |
2- 5+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
49400p |
Isogeny class |
Conductor |
49400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
-4940000000 = -1 · 28 · 57 · 13 · 19 |
Discriminant |
Eigenvalues |
2- -3 5+ 1 -2 13+ 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,425,250] |
[a1,a2,a3,a4,a6] |
Generators |
[1:26:1] [5:50:1] |
Generators of the group modulo torsion |
j |
2122416/1235 |
j-invariant |
L |
6.2971919478319 |
L(r)(E,1)/r! |
Ω |
0.82435501953168 |
Real period |
R |
0.47743325074084 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98800j1 9880d1 |
Quadratic twists by: -4 5 |