Atkin-Lehner |
2- 3+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
10878bf |
Isogeny class |
Conductor |
10878 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
2880 |
Modular degree for the optimal curve |
Δ |
-43512 = -1 · 23 · 3 · 72 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 4 7- -4 5 -7 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-36,-99] |
[a1,a2,a3,a4,a6] |
Generators |
[15:47:1] |
Generators of the group modulo torsion |
j |
-105484561/888 |
j-invariant |
L |
7.2351592500145 |
L(r)(E,1)/r! |
Ω |
0.97389675456823 |
Real period |
R |
2.4763608038452 |
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 |
87024dv1 32634ba1 10878bn1 |
Quadratic twists by: -4 -3 -7 |