Atkin-Lehner |
2+ 3+ 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
31800d |
Isogeny class |
Conductor |
31800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
31104 |
Modular degree for the optimal curve |
Δ |
-15264000000 = -1 · 211 · 32 · 56 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 3 2 7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-808,-10388] |
[a1,a2,a3,a4,a6] |
Generators |
[458:2859:8] |
Generators of the group modulo torsion |
j |
-1825346/477 |
j-invariant |
L |
4.5409656988476 |
L(r)(E,1)/r! |
Ω |
0.44164312302709 |
Real period |
R |
5.1409899329157 |
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 |
63600p1 95400bf1 1272a1 |
Quadratic twists by: -4 -3 5 |