Atkin-Lehner |
3+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
77763n |
Isogeny class |
Conductor |
77763 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4967424 |
Modular degree for the optimal curve |
Δ |
-2.103410489167E+21 |
Discriminant |
Eigenvalues |
-1 3+ -3 7- 2 1 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-17808267,29002104270] |
[a1,a2,a3,a4,a6] |
Generators |
[2682:21924:1] |
Generators of the group modulo torsion |
j |
-14936239633/50301 |
j-invariant |
L |
2.1634594466761 |
L(r)(E,1)/r! |
Ω |
0.14739318000451 |
Real period |
R |
7.3390758260893 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999910931 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77763z1 3381g1 |
Quadratic twists by: -7 -23 |