Atkin-Lehner |
3+ 7+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
110019c |
Isogeny class |
Conductor |
110019 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-330057 = -1 · 32 · 7 · 132 · 31 |
Discriminant |
Eigenvalues |
-1 3+ 2 7+ 3 13+ -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-62,164] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:143:8] [4:-1:1] |
Generators of the group modulo torsion |
j |
-156116857/1953 |
j-invariant |
L |
7.4197685971976 |
L(r)(E,1)/r! |
Ω |
3.0568362609729 |
Real period |
R |
1.2136352695278 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999976029 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110019l1 |
Quadratic twists by: 13 |