Atkin-Lehner |
2- 3- 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
97650ex |
Isogeny class |
Conductor |
97650 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
1866240 |
Modular degree for the optimal curve |
Δ |
-718310909925000000 = -1 · 26 · 39 · 58 · 72 · 313 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 6 2 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-334805,-84902803] |
[a1,a2,a3,a4,a6] |
j |
-14575072995625/2522463552 |
j-invariant |
L |
7.0781580433488 |
L(r)(E,1)/r! |
Ω |
0.098307749187214 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32550bk1 97650bg1 |
Quadratic twists by: -3 5 |