Atkin-Lehner |
2+ 3+ 7+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
31416b |
Isogeny class |
Conductor |
31416 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-2687704169407488 = -1 · 210 · 312 · 74 · 112 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 11- -2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,31976,1163260] |
[a1,a2,a3,a4,a6] |
Generators |
[161:3234:1] |
Generators of the group modulo torsion |
j |
3530876921451932/2624711102937 |
j-invariant |
L |
2.9646041902475 |
L(r)(E,1)/r! |
Ω |
0.29031113997251 |
Real period |
R |
2.5529542119261 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62832r3 94248t3 |
Quadratic twists by: -4 -3 |