Atkin-Lehner |
2- 3+ 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
11400bc |
Isogeny class |
Conductor |
11400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
17920 |
Modular degree for the optimal curve |
Δ |
913781250000 = 24 · 34 · 59 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 -4 -6 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2583,-20088] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:171:1] |
Generators of the group modulo torsion |
j |
61011968/29241 |
j-invariant |
L |
3.083433618738 |
L(r)(E,1)/r! |
Ω |
0.70224860723416 |
Real period |
R |
1.0977001545373 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22800bn1 91200es1 34200bi1 11400p1 |
Quadratic twists by: -4 8 -3 5 |