Atkin-Lehner |
2- 5+ 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
99400o |
Isogeny class |
Conductor |
99400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1419264 |
Modular degree for the optimal curve |
Δ |
-17643500000000 = -1 · 28 · 59 · 7 · 712 |
Discriminant |
Eigenvalues |
2- 3 5+ 7- 5 -5 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-387700,92916500] |
[a1,a2,a3,a4,a6] |
Generators |
[9435:8875:27] |
Generators of the group modulo torsion |
j |
-1611206197853184/4410875 |
j-invariant |
L |
13.620863256291 |
L(r)(E,1)/r! |
Ω |
0.60036918396958 |
Real period |
R |
1.4179674365208 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008913 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19880a1 |
Quadratic twists by: 5 |