Atkin-Lehner |
2- 3- 5- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
121800ce |
Isogeny class |
Conductor |
121800 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-16369920000 = -1 · 211 · 32 · 54 · 72 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 0 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1008,-14112] |
[a1,a2,a3,a4,a6] |
Generators |
[63:420:1] |
Generators of the group modulo torsion |
j |
-88578050/12789 |
j-invariant |
L |
9.1415229805147 |
L(r)(E,1)/r! |
Ω |
0.42025165778782 |
Real period |
R |
1.8127080872733 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000038693 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121800a1 |
Quadratic twists by: 5 |