Atkin-Lehner |
2- 3- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
8880v |
Isogeny class |
Conductor |
8880 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
2400 |
Modular degree for the optimal curve |
Δ |
-11508480 = -1 · 28 · 35 · 5 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -4 5 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-341,2319] |
[a1,a2,a3,a4,a6] |
Generators |
[7:18:1] |
Generators of the group modulo torsion |
j |
-17179869184/44955 |
j-invariant |
L |
4.533433572935 |
L(r)(E,1)/r! |
Ω |
2.2722020121949 |
Real period |
R |
0.1995171885512 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2220a1 35520cf1 26640br1 44400bg1 |
Quadratic twists by: -4 8 -3 5 |