Atkin-Lehner |
2- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
36848q |
Isogeny class |
Conductor |
36848 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
59136 |
Modular degree for the optimal curve |
Δ |
-485534599424 = -1 · 28 · 79 · 47 |
Discriminant |
Eigenvalues |
2- -3 -1 7- -3 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-343,-33614] |
[a1,a2,a3,a4,a6] |
Generators |
[1470:8918:27] |
Generators of the group modulo torsion |
j |
-432/47 |
j-invariant |
L |
2.9952080596462 |
L(r)(E,1)/r! |
Ω |
0.41322118580535 |
Real period |
R |
3.6242188959993 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9212d1 36848x1 |
Quadratic twists by: -4 -7 |