Atkin-Lehner |
2- 3- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
97608t |
Isogeny class |
Conductor |
97608 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-64852365146352 = -1 · 24 · 3 · 73 · 835 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 -1 -1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-20148,1160277] |
[a1,a2,a3,a4,a6] |
j |
-164826482656000/11817121929 |
j-invariant |
L |
2.4374632889949 |
L(r)(E,1)/r! |
Ω |
0.60936578346796 |
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 |
97608p1 |
Quadratic twists by: -7 |