Atkin-Lehner |
2+ 3- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
37446f |
Isogeny class |
Conductor |
37446 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
431340 |
Modular degree for the optimal curve |
Δ |
-81923875734954294 = -1 · 2 · 33 · 798 |
Discriminant |
Eigenvalues |
2+ 3- 3 -1 3 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-71902,-15649138] |
[a1,a2,a3,a4,a6] |
j |
-27097/54 |
j-invariant |
L |
3.4248155757556 |
L(r)(E,1)/r! |
Ω |
0.13699262303073 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
112338p1 37446d1 |
Quadratic twists by: -3 -79 |