Atkin-Lehner |
5+ 7- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
92365d |
Isogeny class |
Conductor |
92365 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
236544 |
Modular degree for the optimal curve |
Δ |
-237707966234375 = -1 · 56 · 79 · 13 · 29 |
Discriminant |
Eigenvalues |
-1 0 5+ 7- 0 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-11598,-881044] |
[a1,a2,a3,a4,a6] |
Generators |
[261103912:-15083604031:79507] |
Generators of the group modulo torsion |
j |
-4275191367/5890625 |
j-invariant |
L |
3.4248669614874 |
L(r)(E,1)/r! |
Ω |
0.21897786213394 |
Real period |
R |
15.640242958215 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999861078 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92365f1 |
Quadratic twists by: -7 |