Atkin-Lehner |
2+ 3- 7- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
72618bc |
Isogeny class |
Conductor |
72618 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
deg |
1829520 |
Modular degree for the optimal curve |
Δ |
-7756021845732206592 = -1 · 211 · 33 · 76 · 137 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- -3 13- 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-646581,-240886208] |
[a1,a2,a3,a4,a6] |
j |
-254099214331341625/65925097924608 |
j-invariant |
L |
1.7440935584396 |
L(r)(E,1)/r! |
Ω |
0.083052074543546 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1482a1 |
Quadratic twists by: -7 |