Atkin-Lehner |
2- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
36400ci |
Isogeny class |
Conductor |
36400 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
53568 |
Modular degree for the optimal curve |
Δ |
-579670000 = -1 · 24 · 54 · 73 · 132 |
Discriminant |
Eigenvalues |
2- -2 5- 7+ -1 13+ 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-29758,1965963] |
[a1,a2,a3,a4,a6] |
Generators |
[103:65:1] |
Generators of the group modulo torsion |
j |
-291440245830400/57967 |
j-invariant |
L |
3.5303568079337 |
L(r)(E,1)/r! |
Ω |
1.2923085924178 |
Real period |
R |
0.45530363627883 |
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 |
9100k1 36400cf1 |
Quadratic twists by: -4 5 |