Atkin-Lehner |
2+ 3- 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
49200be |
Isogeny class |
Conductor |
49200 |
Conductor |
∏ cp |
23 |
Product of Tamagawa factors cp |
deg |
618240 |
Modular degree for the optimal curve |
Δ |
-1543948132762800 = -1 · 24 · 323 · 52 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 3 2 -5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2604423,-1618634412] |
[a1,a2,a3,a4,a6] |
Generators |
[2832:117162:1] |
Generators of the group modulo torsion |
j |
-4884256392300674897920/3859870331907 |
j-invariant |
L |
8.5104988888548 |
L(r)(E,1)/r! |
Ω |
0.059421230918164 |
Real period |
R |
6.2270956878778 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000024 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24600i1 49200r1 |
Quadratic twists by: -4 5 |