Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
87120w |
Isogeny class |
Conductor |
87120 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4021248 |
Modular degree for the optimal curve |
Δ |
-7.0906434502984E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- -6 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18491583,-30608869907] |
[a1,a2,a3,a4,a6] |
Generators |
[22128445868835214933724:694860146226831101787801:4075367859621974629] |
Generators of the group modulo torsion |
j |
-2311381447936/234375 |
j-invariant |
L |
5.266706785627 |
L(r)(E,1)/r! |
Ω |
0.036401844835235 |
Real period |
R |
36.170603505574 |
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 |
43560k1 29040bj1 87120u1 |
Quadratic twists by: -4 -3 -11 |