Atkin-Lehner |
2+ 3+ 5+ |
Signs for the Atkin-Lehner involutions |
Class |
7200c |
Isogeny class |
Conductor |
7200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-98415000000 = -1 · 26 · 39 · 57 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 -2 0 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,675,13500] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:100:1] |
Generators of the group modulo torsion |
j |
1728/5 |
j-invariant |
L |
3.8087531087648 |
L(r)(E,1)/r! |
Ω |
0.74947739355264 |
Real period |
R |
1.2704696437576 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7200bb1 14400f1 7200bc1 1440h1 |
Quadratic twists by: -4 8 -3 5 |