Atkin-Lehner |
2+ 5+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
41200c |
Isogeny class |
Conductor |
41200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
259200 |
Modular degree for the optimal curve |
Δ |
-10927270000000000 = -1 · 210 · 510 · 1033 |
Discriminant |
Eigenvalues |
2+ 0 5+ 5 2 -1 1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21875,5181250] |
[a1,a2,a3,a4,a6] |
Generators |
[91:1986:1] |
Generators of the group modulo torsion |
j |
-115762500/1092727 |
j-invariant |
L |
6.7718510349916 |
L(r)(E,1)/r! |
Ω |
0.34552711237786 |
Real period |
R |
4.8996524385534 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999966 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20600r1 41200t1 |
Quadratic twists by: -4 5 |