Atkin-Lehner |
3- 5+ 7+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
31815a |
Isogeny class |
Conductor |
31815 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
7927341064453125 = 38 · 512 · 72 · 101 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ 0 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2140898,1206235172] |
[a1,a2,a3,a4,a6] |
j |
1488620251706326585561/10874267578125 |
j-invariant |
L |
0.74429977714803 |
L(r)(E,1)/r! |
Ω |
0.37214988857514 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10605h3 |
Quadratic twists by: -3 |