Atkin-Lehner |
5+ 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
52345a |
Isogeny class |
Conductor |
52345 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
132000 |
Modular degree for the optimal curve |
Δ |
-439643659346875 = -1 · 55 · 193 · 295 |
Discriminant |
Eigenvalues |
0 0 5+ -2 0 5 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-29678,-2211396] |
[a1,a2,a3,a4,a6] |
Generators |
[448932:57884921:27] |
Generators of the group modulo torsion |
j |
-421470129586176/64097340625 |
j-invariant |
L |
3.7694119639076 |
L(r)(E,1)/r! |
Ω |
0.1803567135598 |
Real period |
R |
10.449879822944 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999615 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52345c1 |
Quadratic twists by: -19 |