Atkin-Lehner |
2- 3+ 5- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
49350bw |
Isogeny class |
Conductor |
49350 |
Conductor |
∏ cp |
50 |
Product of Tamagawa factors cp |
deg |
86400 |
Modular degree for the optimal curve |
Δ |
-1516663680000 = -1 · 210 · 3 · 54 · 75 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 1 -3 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,2787,-16269] |
[a1,a2,a3,a4,a6] |
Generators |
[39:-412:1] |
Generators of the group modulo torsion |
j |
3830406463775/2426661888 |
j-invariant |
L |
8.3774999033117 |
L(r)(E,1)/r! |
Ω |
0.48709386261562 |
Real period |
R |
0.34397887332618 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999977 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49350q1 |
Quadratic twists by: 5 |