Atkin-Lehner |
3+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
77763b |
Isogeny class |
Conductor |
77763 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1064448 |
Modular degree for the optimal curve |
Δ |
-412190963975511987 = -1 · 3 · 79 · 237 |
Discriminant |
Eigenvalues |
0 3+ 0 7- -5 -4 2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-604823,-183461398] |
[a1,a2,a3,a4,a6] |
Generators |
[2170:93368:1] |
Generators of the group modulo torsion |
j |
-4096000/69 |
j-invariant |
L |
2.7032377248819 |
L(r)(E,1)/r! |
Ω |
0.085512198473765 |
Real period |
R |
3.9515381647543 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999937589 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77763bb1 3381e1 |
Quadratic twists by: -7 -23 |