Atkin-Lehner |
2- 5- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
49400y |
Isogeny class |
Conductor |
49400 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
130560 |
Modular degree for the optimal curve |
Δ |
169417300000000 = 28 · 58 · 13 · 194 |
Discriminant |
Eigenvalues |
2- -1 5- 2 -6 13+ 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13833,3037] |
[a1,a2,a3,a4,a6] |
Generators |
[-108:475:1] [-89:722:1] |
Generators of the group modulo torsion |
j |
2927549440/1694173 |
j-invariant |
L |
8.1660887205712 |
L(r)(E,1)/r! |
Ω |
0.48338890420666 |
Real period |
R |
0.70389223610518 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98800t1 49400d1 |
Quadratic twists by: -4 5 |