Atkin-Lehner |
2- 3+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
97020s |
Isogeny class |
Conductor |
97020 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
774144 |
Modular degree for the optimal curve |
Δ |
784554168459600 = 24 · 39 · 52 · 77 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11+ 4 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-375732,-88637031] |
[a1,a2,a3,a4,a6] |
j |
158328373248/21175 |
j-invariant |
L |
2.3140073720527 |
L(r)(E,1)/r! |
Ω |
0.19283394844008 |
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 |
97020k1 13860b1 |
Quadratic twists by: -3 -7 |