Atkin-Lehner |
7- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
73997f |
Isogeny class |
Conductor |
73997 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11040 |
Modular degree for the optimal curve |
Δ |
-25380971 = -1 · 74 · 11 · 312 |
Discriminant |
Eigenvalues |
0 1 -2 7- 11+ 0 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,21,-233] |
[a1,a2,a3,a4,a6] |
Generators |
[7:17:1] |
Generators of the group modulo torsion |
j |
1015808/26411 |
j-invariant |
L |
4.1955336487036 |
L(r)(E,1)/r! |
Ω |
1.0260099159943 |
Real period |
R |
1.022293640367 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000968 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73997i1 |
Quadratic twists by: -31 |