Atkin-Lehner |
2+ 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
72600p |
Isogeny class |
Conductor |
72600 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
253440 |
Modular degree for the optimal curve |
Δ |
-803845803750000 = -1 · 24 · 3 · 57 · 118 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 11- -2 -1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,11092,-1291563] |
[a1,a2,a3,a4,a6] |
Generators |
[202:-3025:1] [162:2175:1] |
Generators of the group modulo torsion |
j |
2816/15 |
j-invariant |
L |
8.1291800362208 |
L(r)(E,1)/r! |
Ω |
0.25252218283168 |
Real period |
R |
1.3413310111878 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999279 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14520bn1 72600cw1 |
Quadratic twists by: 5 -11 |