Atkin-Lehner |
2+ 3+ 5+ |
Signs for the Atkin-Lehner involutions |
Class |
2400c |
Isogeny class |
Conductor |
2400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
960 |
Modular degree for the optimal curve |
Δ |
-24883200 = -1 · 212 · 35 · 52 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 3 0 -5 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-733,-7403] |
[a1,a2,a3,a4,a6] |
Generators |
[51:292:1] |
Generators of the group modulo torsion |
j |
-425920000/243 |
j-invariant |
L |
2.8939551147864 |
L(r)(E,1)/r! |
Ω |
0.45870063482616 |
Real period |
R |
3.1545139629937 |
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 |
2400bc1 4800u1 7200bm1 2400bg1 |
Quadratic twists by: -4 8 -3 5 |