Atkin-Lehner |
2- 3+ 5+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
121200ce |
Isogeny class |
Conductor |
121200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-276108750000 = -1 · 24 · 37 · 57 · 101 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 3 -6 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14033,-635688] |
[a1,a2,a3,a4,a6] |
Generators |
[72942:1241225:216] |
Generators of the group modulo torsion |
j |
-1222548865024/1104435 |
j-invariant |
L |
6.6472440456031 |
L(r)(E,1)/r! |
Ω |
0.21930868055419 |
Real period |
R |
7.5774976554999 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999920005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30300n1 24240bj1 |
Quadratic twists by: -4 5 |