Atkin-Lehner |
2+ 3- 7+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
31416g |
Isogeny class |
Conductor |
31416 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
539136 |
Modular degree for the optimal curve |
Δ |
48232324310016 = 210 · 3 · 74 · 113 · 173 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 11+ 4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6539072,6433913520] |
[a1,a2,a3,a4,a6] |
Generators |
[15276:1457920:27] |
Generators of the group modulo torsion |
j |
30197582732235135829252/47101879209 |
j-invariant |
L |
7.8219354606447 |
L(r)(E,1)/r! |
Ω |
0.40850132849098 |
Real period |
R |
6.3826275176299 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62832n1 94248w1 |
Quadratic twists by: -4 -3 |