Atkin-Lehner |
2- 3+ 29+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
77256i |
Isogeny class |
Conductor |
77256 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
164352 |
Modular degree for the optimal curve |
Δ |
-17116547486832 = -1 · 24 · 39 · 29 · 374 |
Discriminant |
Eigenvalues |
2- 3+ 0 -5 3 -3 1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4725,154899] |
[a1,a2,a3,a4,a6] |
Generators |
[78:999:1] |
Generators of the group modulo torsion |
j |
37044000000/54350669 |
j-invariant |
L |
4.165914334453 |
L(r)(E,1)/r! |
Ω |
0.47005287271154 |
Real period |
R |
0.55391565689033 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005458 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77256c1 |
Quadratic twists by: -3 |