Atkin-Lehner |
2- 7+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
77924d |
Isogeny class |
Conductor |
77924 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1774080 |
Modular degree for the optimal curve |
Δ |
-1.1433738304423E+19 |
Discriminant |
Eigenvalues |
2- 2 3 7+ 11+ 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,209411,158380521] |
[a1,a2,a3,a4,a6] |
Generators |
[-265934640:1837076813:658503] |
Generators of the group modulo torsion |
j |
1682464768/18941489 |
j-invariant |
L |
12.111971824103 |
L(r)(E,1)/r! |
Ω |
0.16708070286844 |
Real period |
R |
12.08195761895 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999999843 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77924p1 |
Quadratic twists by: -11 |