Atkin-Lehner |
7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
67081d |
Isogeny class |
Conductor |
67081 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
12960 |
Modular degree for the optimal curve |
Δ |
-161061481 = -1 · 76 · 372 |
Discriminant |
Eigenvalues |
-1 0 1 7- -2 -2 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,113,368] |
[a1,a2,a3,a4,a6] |
Generators |
[2:23:1] [94:403:8] |
Generators of the group modulo torsion |
j |
999 |
j-invariant |
L |
6.6635474388027 |
L(r)(E,1)/r! |
Ω |
1.1981405117739 |
Real period |
R |
2.7807871336113 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1369c1 67081b1 |
Quadratic twists by: -7 37 |