Atkin-Lehner |
2+ 3+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
72600a |
Isogeny class |
Conductor |
72600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-6064368750000 = -1 · 24 · 36 · 58 · 113 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 11+ 2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12283,541312] |
[a1,a2,a3,a4,a6] |
Generators |
[7:675:1] |
Generators of the group modulo torsion |
j |
-615962624/18225 |
j-invariant |
L |
6.1101773026343 |
L(r)(E,1)/r! |
Ω |
0.75290449088084 |
Real period |
R |
1.0144343299521 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001371 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14520bj1 72600cf1 |
Quadratic twists by: 5 -11 |