Atkin-Lehner |
2+ 11+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
7832a |
Isogeny class |
Conductor |
7832 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
178444288 = 211 · 11 · 892 |
Discriminant |
Eigenvalues |
2+ 0 2 0 11+ 2 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-499,-4242] |
[a1,a2,a3,a4,a6] |
j |
6709580946/87131 |
j-invariant |
L |
2.0218345644256 |
L(r)(E,1)/r! |
Ω |
1.0109172822128 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15664b2 62656g2 70488i2 86152c2 |
Quadratic twists by: -4 8 -3 -11 |