Atkin-Lehner |
2- 5- 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
40150bp |
Isogeny class |
Conductor |
40150 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
27520 |
Modular degree for the optimal curve |
Δ |
-35332000 = -1 · 25 · 53 · 112 · 73 |
Discriminant |
Eigenvalues |
2- -2 5- 2 11- -2 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4368,110752] |
[a1,a2,a3,a4,a6] |
Generators |
[36:4:1] |
Generators of the group modulo torsion |
j |
-73734001313237/282656 |
j-invariant |
L |
7.1340794851792 |
L(r)(E,1)/r! |
Ω |
1.8113026666717 |
Real period |
R |
0.19693228570922 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40150n1 |
Quadratic twists by: 5 |