Atkin-Lehner |
2+ 3- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
87120bu |
Isogeny class |
Conductor |
87120 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-155247840000000 = -1 · 211 · 36 · 57 · 113 |
Discriminant |
Eigenvalues |
2+ 3- 5- 3 11+ 4 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2013,598466] |
[a1,a2,a3,a4,a6] |
Generators |
[77:1100:1] |
Generators of the group modulo torsion |
j |
453962/78125 |
j-invariant |
L |
9.2343177239021 |
L(r)(E,1)/r! |
Ω |
0.44481869265459 |
Real period |
R |
0.37070953529323 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999963762 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43560w1 9680a1 87120bv1 |
Quadratic twists by: -4 -3 -11 |