Atkin-Lehner |
2+ 3- 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
77376v |
Isogeny class |
Conductor |
77376 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
22528 |
Modular degree for the optimal curve |
Δ |
169221312 = 26 · 38 · 13 · 31 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 0 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-564,-5310] |
[a1,a2,a3,a4,a6] |
Generators |
[330:1665:8] |
Generators of the group modulo torsion |
j |
310563811648/2644083 |
j-invariant |
L |
7.3516712457827 |
L(r)(E,1)/r! |
Ω |
0.98002845238674 |
Real period |
R |
3.7507437812035 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991819 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
77376l1 38688c3 |
Quadratic twists by: -4 8 |