Atkin-Lehner |
2+ 3+ 5- 13- 83- |
Signs for the Atkin-Lehner involutions |
Class |
97110g |
Isogeny class |
Conductor |
97110 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
972800 |
Modular degree for the optimal curve |
Δ |
-44199431602560000 = -1 · 210 · 33 · 54 · 135 · 832 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 -4 13- -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-43194,10699700] |
[a1,a2,a3,a4,a6] |
Generators |
[131:-2763:1] [-124:3822:1] |
Generators of the group modulo torsion |
j |
-330092666136002043/1637015985280000 |
j-invariant |
L |
7.6514938780456 |
L(r)(E,1)/r! |
Ω |
0.312394636302 |
Real period |
R |
0.6123259644826 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999998867 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97110bm1 |
Quadratic twists by: -3 |