Atkin-Lehner |
2+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
21904b |
Isogeny class |
Conductor |
21904 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
43776 |
Modular degree for the optimal curve |
Δ |
24302560546048 = 28 · 377 |
Discriminant |
Eigenvalues |
2+ 1 2 -1 -1 6 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12777,-507037] |
[a1,a2,a3,a4,a6] |
Generators |
[-1900866:5521177:35937] |
Generators of the group modulo torsion |
j |
351232/37 |
j-invariant |
L |
6.9919841869613 |
L(r)(E,1)/r! |
Ω |
0.45210406149259 |
Real period |
R |
7.7327155211542 |
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 |
10952c1 87616be1 592a1 |
Quadratic twists by: -4 8 37 |