Atkin-Lehner |
2- 3+ 5- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
69090bm |
Isogeny class |
Conductor |
69090 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
179078138564062500 = 22 · 32 · 58 · 78 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-431005,106811375] |
[a1,a2,a3,a4,a6] |
Generators |
[43:9378:1] |
Generators of the group modulo torsion |
j |
75263161977275329/1522139062500 |
j-invariant |
L |
8.5965793294358 |
L(r)(E,1)/r! |
Ω |
0.32047241355557 |
Real period |
R |
1.6765443306597 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000192 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9870s2 |
Quadratic twists by: -7 |