Atkin-Lehner |
2+ 3+ 5- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
121800l |
Isogeny class |
Conductor |
121800 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
685440 |
Modular degree for the optimal curve |
Δ |
355168800000000 = 211 · 37 · 58 · 7 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 2 -3 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-89208,-10185588] |
[a1,a2,a3,a4,a6] |
j |
98140892210/443961 |
j-invariant |
L |
0.8289673179103 |
L(r)(E,1)/r! |
Ω |
0.27632260508633 |
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 |
121800bm1 |
Quadratic twists by: 5 |