Atkin-Lehner |
2- 5+ 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
40150ba |
Isogeny class |
Conductor |
40150 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
1203888435200 = 212 · 52 · 115 · 73 |
Discriminant |
Eigenvalues |
2- 0 5+ -4 11- -1 2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3640,-65093] |
[a1,a2,a3,a4,a6] |
Generators |
[85:441:1] [-35:153:1] |
Generators of the group modulo torsion |
j |
213292701498105/48155537408 |
j-invariant |
L |
11.726462415271 |
L(r)(E,1)/r! |
Ω |
0.62460080277835 |
Real period |
R |
0.3129055220313 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40150m1 |
Quadratic twists by: 5 |