Atkin-Lehner |
2+ 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
67270c |
Isogeny class |
Conductor |
67270 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
307200 |
Modular degree for the optimal curve |
Δ |
-134811809143900 = -1 · 22 · 52 · 72 · 317 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7+ 0 -6 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,11032,-331828] |
[a1,a2,a3,a4,a6] |
Generators |
[46:502:1] [586:-14708:1] |
Generators of the group modulo torsion |
j |
167284151/151900 |
j-invariant |
L |
9.6535429577727 |
L(r)(E,1)/r! |
Ω |
0.32006197436055 |
Real period |
R |
3.7701850466048 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2170a1 |
Quadratic twists by: -31 |