Atkin-Lehner |
2+ 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
25350c |
Isogeny class |
Conductor |
25350 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2903040 |
Modular degree for the optimal curve |
Δ |
-3.0876976502775E+23 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 0 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,16889350,1013572500] |
[a1,a2,a3,a4,a6] |
Generators |
[527649406595:-177981888542360:4657463] |
Generators of the group modulo torsion |
j |
7064514799444439/4094064000000 |
j-invariant |
L |
3.5577196418436 |
L(r)(E,1)/r! |
Ω |
0.058125048782817 |
Real period |
R |
15.302007122338 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76050ej1 5070t1 1950n1 |
Quadratic twists by: -3 5 13 |