Atkin-Lehner |
2- 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
45600be |
Isogeny class |
Conductor |
45600 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-6351193935000000 = -1 · 26 · 33 · 57 · 196 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 2 0 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-52658,6045312] |
[a1,a2,a3,a4,a6] |
Generators |
[88:1444:1] |
Generators of the group modulo torsion |
j |
-16148234224576/6351193935 |
j-invariant |
L |
5.4579731776104 |
L(r)(E,1)/r! |
Ω |
0.39753176136739 |
Real period |
R |
1.1441377578742 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999894 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45600o1 91200ct2 9120i1 |
Quadratic twists by: -4 8 5 |