Atkin-Lehner |
2+ 3+ 5- 37- |
Signs for the Atkin-Lehner involutions |
Class |
8880d |
Isogeny class |
Conductor |
8880 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
-276203520 = -1 · 211 · 36 · 5 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 1 -3 6 1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-440,3792] |
[a1,a2,a3,a4,a6] |
Generators |
[2:54:1] |
Generators of the group modulo torsion |
j |
-4610398322/134865 |
j-invariant |
L |
4.1281117531189 |
L(r)(E,1)/r! |
Ω |
1.7321905278394 |
Real period |
R |
0.59579354677974 |
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 |
4440d1 35520cl1 26640h1 44400o1 |
Quadratic twists by: -4 8 -3 5 |