Atkin-Lehner |
2+ 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
41650c |
Isogeny class |
Conductor |
41650 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
5806080 |
Modular degree for the optimal curve |
Δ |
-2.5088413952E+22 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7+ 1 -1 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-117281526,-488938194552] |
[a1,a2,a3,a4,a6] |
j |
-1980652037510828689/278528000000 |
j-invariant |
L |
2.4773207988484 |
L(r)(E,1)/r! |
Ω |
0.022938155546022 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8330o1 41650i1 |
Quadratic twists by: 5 -7 |