Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
72600bn |
Isogeny class |
Conductor |
72600 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
760320 |
Modular degree for the optimal curve |
Δ |
-65111510103750000 = -1 · 24 · 35 · 57 · 118 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 11- 4 7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,11092,12272313] |
[a1,a2,a3,a4,a6] |
Generators |
[403:-9075:1] |
Generators of the group modulo torsion |
j |
2816/1215 |
j-invariant |
L |
9.462807966433 |
L(r)(E,1)/r! |
Ω |
0.27104227598519 |
Real period |
R |
0.29093886838666 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991797 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14520bc1 72600dx1 |
Quadratic twists by: 5 -11 |