Atkin-Lehner |
2+ 3- 5+ 13- 83- |
Signs for the Atkin-Lehner involutions |
Class |
97110r |
Isogeny class |
Conductor |
97110 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-30358969297897500 = -1 · 22 · 39 · 54 · 13 · 834 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,35100,7983036] |
[a1,a2,a3,a4,a6] |
j |
6560101717041599/41644676677500 |
j-invariant |
L |
2.1550258465066 |
L(r)(E,1)/r! |
Ω |
0.26937821625803 |
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 |
32370bj3 |
Quadratic twists by: -3 |