Atkin-Lehner |
2- 3+ 5- 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
76650cl |
Isogeny class |
Conductor |
76650 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
188160 |
Modular degree for the optimal curve |
Δ |
-2413923120000 = -1 · 27 · 310 · 54 · 7 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 1 -4 7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-8763,-328119] |
[a1,a2,a3,a4,a6] |
Generators |
[145:1142:1] |
Generators of the group modulo torsion |
j |
-119070787890625/3862276992 |
j-invariant |
L |
9.1385761236266 |
L(r)(E,1)/r! |
Ω |
0.2462508328787 |
Real period |
R |
0.88359151228378 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989062 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76650w1 |
Quadratic twists by: 5 |