Atkin-Lehner |
2+ 3+ 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
91200bx |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
-5836800000000 = -1 · 218 · 3 · 58 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 -3 0 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-24833,-1502463] |
[a1,a2,a3,a4,a6] |
j |
-16539745/57 |
j-invariant |
L |
3.0418735895321 |
L(r)(E,1)/r! |
Ω |
0.19011710771553 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91200jk1 1425j1 91200dk1 |
Quadratic twists by: -4 8 5 |