Atkin-Lehner |
7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
67081h |
Isogeny class |
Conductor |
67081 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-2044031255371 = -1 · 79 · 373 |
Discriminant |
Eigenvalues |
0 -2 -3 7- 3 -3 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-2417,-83415] |
[a1,a2,a3,a4,a6] |
Generators |
[345:6345:1] |
Generators of the group modulo torsion |
j |
-262144/343 |
j-invariant |
L |
1.8760918662012 |
L(r)(E,1)/r! |
Ω |
0.32462261204889 |
Real period |
R |
0.72241265602502 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999956989 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9583a1 67081g1 |
Quadratic twists by: -7 37 |