Atkin-Lehner |
2+ 3+ 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
2850a |
Isogeny class |
Conductor |
2850 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
-4491417600000000000 = -1 · 220 · 35 · 511 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 2 -4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,233375,-92172875] |
[a1,a2,a3,a4,a6] |
Generators |
[35421:6649418:1] |
Generators of the group modulo torsion |
j |
89962967236397039/287450726400000 |
j-invariant |
L |
2.2566318158248 |
L(r)(E,1)/r! |
Ω |
0.12522120436829 |
Real period |
R |
9.0105818228185 |
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 |
22800dh1 91200dv1 8550y1 570l1 |
Quadratic twists by: -4 8 -3 5 |