Atkin-Lehner |
3+ 5+ 11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
110715a |
Isogeny class |
Conductor |
110715 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
-1217865 = -1 · 3 · 5 · 113 · 61 |
Discriminant |
Eigenvalues |
1 3+ 5+ -1 11+ -6 -7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-13,-62] |
[a1,a2,a3,a4,a6] |
Generators |
[6:8:1] |
Generators of the group modulo torsion |
j |
-205379/915 |
j-invariant |
L |
2.3103478182506 |
L(r)(E,1)/r! |
Ω |
1.1301703976104 |
Real period |
R |
1.0221236524913 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000124503 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110715b1 |
Quadratic twists by: -11 |