Atkin-Lehner |
2- 5- 23+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
71300k |
Isogeny class |
Conductor |
71300 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
33344640 |
Modular degree for the optimal curve |
Δ |
-2.0364271443179E+27 |
Discriminant |
Eigenvalues |
2- -1 5- 2 4 -2 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2385766333,-44904565689463] |
[a1,a2,a3,a4,a6] |
j |
-3003567698155180866756608/4072854288635829679 |
j-invariant |
L |
0.90720735903327 |
L(r)(E,1)/r! |
Ω |
0.010800087610927 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71300m1 |
Quadratic twists by: 5 |