Atkin-Lehner |
2- 3+ 7- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
70224cc |
Isogeny class |
Conductor |
70224 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
201600 |
Modular degree for the optimal curve |
Δ |
-5524941176832 = -1 · 219 · 3 · 75 · 11 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 4 7- 11- 3 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4384,16128] |
[a1,a2,a3,a4,a6] |
j |
2274449681951/1348862592 |
j-invariant |
L |
4.6432745744462 |
L(r)(E,1)/r! |
Ω |
0.46432745838289 |
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 |
8778r1 |
Quadratic twists by: -4 |