Atkin-Lehner |
2+ 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
97104v |
Isogeny class |
Conductor |
97104 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-15441864942336 = -1 · 28 · 3 · 72 · 177 |
Discriminant |
Eigenvalues |
2+ 3- -3 7+ 5 -3 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-25817,1599219] |
[a1,a2,a3,a4,a6] |
j |
-307981312/2499 |
j-invariant |
L |
2.8106842503879 |
L(r)(E,1)/r! |
Ω |
0.70267110757348 |
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 |
48552ba1 5712h1 |
Quadratic twists by: -4 17 |