Atkin-Lehner |
3- 7+ 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
33579c |
Isogeny class |
Conductor |
33579 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
58800 |
Modular degree for the optimal curve |
Δ |
-6530477499 = -1 · 36 · 75 · 13 · 41 |
Discriminant |
Eigenvalues |
0 3- -1 7+ 0 13- 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-64728,-6338500] |
[a1,a2,a3,a4,a6] |
Generators |
[11570833930643186:-154950675895251732:29811185557343] |
Generators of the group modulo torsion |
j |
-41140801499037696/8958131 |
j-invariant |
L |
4.0356831753036 |
L(r)(E,1)/r! |
Ω |
0.14965681774977 |
Real period |
R |
26.966250091269 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3731b1 |
Quadratic twists by: -3 |