Atkin-Lehner |
2- 3- 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
97650dz |
Isogeny class |
Conductor |
97650 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
26542080 |
Modular degree for the optimal curve |
Δ |
-6.5450361783744E+25 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,100599145,-26072502353] |
[a1,a2,a3,a4,a6] |
j |
9884598436907013225951/5745985122304000000 |
j-invariant |
L |
2.6415047831516 |
L(r)(E,1)/r! |
Ω |
0.036687569149182 |
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 |
10850j1 19530w1 |
Quadratic twists by: -3 5 |