Atkin-Lehner |
2- 3- 7+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
31416o |
Isogeny class |
Conductor |
31416 |
Conductor |
∏ cp |
180 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-483887348474213376 = -1 · 210 · 36 · 73 · 113 · 175 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ 11- -1 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-283360,-67107568] |
[a1,a2,a3,a4,a6] |
Generators |
[1232:-38148:1] |
Generators of the group modulo torsion |
j |
-2457202336924325764/472546238744349 |
j-invariant |
L |
7.2183033342899 |
L(r)(E,1)/r! |
Ω |
0.102398037367 |
Real period |
R |
0.3916255254656 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62832h1 94248f1 |
Quadratic twists by: -4 -3 |