Atkin-Lehner |
2- 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
97104ct |
Isogeny class |
Conductor |
97104 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
-180113912687407104 = -1 · 212 · 37 · 72 · 177 |
Discriminant |
Eigenvalues |
2- 3- 3 7- -3 1 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-195749,-39156717] |
[a1,a2,a3,a4,a6] |
j |
-8390176768/1821771 |
j-invariant |
L |
6.2823576081701 |
L(r)(E,1)/r! |
Ω |
0.11218496107326 |
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 |
6069a1 5712l1 |
Quadratic twists by: -4 17 |