Atkin-Lehner |
2+ 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
72600j |
Isogeny class |
Conductor |
72600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-1372593750000 = -1 · 24 · 3 · 59 · 114 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 11- 0 5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1008,-57363] |
[a1,a2,a3,a4,a6] |
j |
-30976/375 |
j-invariant |
L |
1.4584738623906 |
L(r)(E,1)/r! |
Ω |
0.36461846817196 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14520bq1 72600cq1 |
Quadratic twists by: 5 -11 |