Atkin-Lehner |
2- 3- 5+ |
Signs for the Atkin-Lehner involutions |
Class |
2400bd |
Isogeny class |
Conductor |
2400 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
2112 |
Modular degree for the optimal curve |
Δ |
-18139852800 = -1 · 212 · 311 · 52 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 -4 7 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-173,-6597] |
[a1,a2,a3,a4,a6] |
Generators |
[49:324:1] |
Generators of the group modulo torsion |
j |
-5624320/177147 |
j-invariant |
L |
3.4724002976367 |
L(r)(E,1)/r! |
Ω |
0.53368311253224 |
Real period |
R |
0.29574924418425 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2400t1 4800bm1 7200n1 2400g1 |
Quadratic twists by: -4 8 -3 5 |