Atkin-Lehner |
2+ 3- 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
38376l |
Isogeny class |
Conductor |
38376 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
3368960 |
Modular degree for the optimal curve |
Δ |
-1.3650449475116E+19 |
Discriminant |
Eigenvalues |
2+ 3- -4 2 -1 13- -5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-58468692,172081194820] |
[a1,a2,a3,a4,a6] |
Generators |
[4754:39546:1] [-3358:574938:1] |
Generators of the group modulo torsion |
j |
-118447624049664483810304/73144126559907 |
j-invariant |
L |
7.6239166308515 |
L(r)(E,1)/r! |
Ω |
0.18426097120625 |
Real period |
R |
0.32324723075443 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999977 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76752t1 12792h1 |
Quadratic twists by: -4 -3 |