Atkin-Lehner |
2- 3- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
77376bp |
Isogeny class |
Conductor |
77376 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
-40412556288 = -1 · 210 · 35 · 132 · 312 |
Discriminant |
Eigenvalues |
2- 3- 0 0 2 13- 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-213,9675] |
[a1,a2,a3,a4,a6] |
Generators |
[6:93:1] |
Generators of the group modulo torsion |
j |
-1048576000/39465387 |
j-invariant |
L |
8.754864998312 |
L(r)(E,1)/r! |
Ω |
0.95499124129006 |
Real period |
R |
0.91674819822785 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000063 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
77376f1 19344j1 |
Quadratic twists by: -4 8 |