Atkin-Lehner |
2+ 3+ 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
99264i |
Isogeny class |
Conductor |
99264 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
178176 |
Modular degree for the optimal curve |
Δ |
-203292672 = -1 · 217 · 3 · 11 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 4 2 11- 4 -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13761,-616767] |
[a1,a2,a3,a4,a6] |
j |
-2198848612322/1551 |
j-invariant |
L |
3.5263415703822 |
L(r)(E,1)/r! |
Ω |
0.22039635716175 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99264cd1 12408f1 |
Quadratic twists by: -4 8 |