Atkin-Lehner |
2- 3+ 5+ 11+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
120450bl |
Isogeny class |
Conductor |
120450 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
4741632 |
Modular degree for the optimal curve |
Δ |
-584362572750000000 = -1 · 27 · 37 · 59 · 114 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 11+ 0 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-9088938,10543007031] |
[a1,a2,a3,a4,a6] |
Generators |
[1905:11147:1] |
Generators of the group modulo torsion |
j |
-5314263834524925061081/37399204656000 |
j-invariant |
L |
8.4837864361899 |
L(r)(E,1)/r! |
Ω |
0.25977786079077 |
Real period |
R |
1.1663517954907 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999458408 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24090i1 |
Quadratic twists by: 5 |