Atkin-Lehner |
2+ 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
97104o |
Isogeny class |
Conductor |
97104 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-1901684736 = -1 · 211 · 33 · 7 · 173 |
Discriminant |
Eigenvalues |
2+ 3- 1 7+ 1 1 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8120,-284364] |
[a1,a2,a3,a4,a6] |
j |
-5885299474/189 |
j-invariant |
L |
3.0175642062884 |
L(r)(E,1)/r! |
Ω |
0.25146367483808 |
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 |
48552g1 97104e1 |
Quadratic twists by: -4 17 |