Atkin-Lehner |
2- 5- 13+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
51350v |
Isogeny class |
Conductor |
51350 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
24960 |
Modular degree for the optimal curve |
Δ |
-1604687500 = -1 · 22 · 58 · 13 · 79 |
Discriminant |
Eigenvalues |
2- 0 5- 5 0 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-55,1947] |
[a1,a2,a3,a4,a6] |
Generators |
[30:319:8] |
Generators of the group modulo torsion |
j |
-46305/4108 |
j-invariant |
L |
10.78946607657 |
L(r)(E,1)/r! |
Ω |
1.235475027774 |
Real period |
R |
4.366525358245 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000058 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51350e1 |
Quadratic twists by: 5 |