Atkin-Lehner |
2- 3+ 5- 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
113520y |
Isogeny class |
Conductor |
113520 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-3107214950400000 = -1 · 218 · 36 · 55 · 112 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 11+ 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,32120,1500400] |
[a1,a2,a3,a4,a6] |
Generators |
[10:1350:1] |
Generators of the group modulo torsion |
j |
894698795996279/758597400000 |
j-invariant |
L |
6.3137174442103 |
L(r)(E,1)/r! |
Ω |
0.29134409657617 |
Real period |
R |
1.0835499166809 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020271 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14190j1 |
Quadratic twists by: -4 |