Atkin-Lehner |
2- 3+ 13+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
55536x |
Isogeny class |
Conductor |
55536 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
-1179232763904 = -1 · 222 · 35 · 13 · 89 |
Discriminant |
Eigenvalues |
2- 3+ 3 3 -1 13+ 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1416,-48528] |
[a1,a2,a3,a4,a6] |
Generators |
[3820:18688:125] |
Generators of the group modulo torsion |
j |
76603177223/287898624 |
j-invariant |
L |
7.4192252790927 |
L(r)(E,1)/r! |
Ω |
0.44001662865801 |
Real period |
R |
4.2153096018438 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000109 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6942g1 |
Quadratic twists by: -4 |