Atkin-Lehner |
2+ 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
67270c |
Isogeny class |
Conductor |
67270 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
7462796577608750 = 2 · 54 · 7 · 318 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7+ 0 -6 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-56238,-3036082] |
[a1,a2,a3,a4,a6] |
Generators |
[-127:1505:1] [21423:563726:27] |
Generators of the group modulo torsion |
j |
22164361129/8408750 |
j-invariant |
L |
9.6535429577727 |
L(r)(E,1)/r! |
Ω |
0.32006197436055 |
Real period |
R |
15.080740186419 |
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 |
2170a2 |
Quadratic twists by: -31 |