Atkin-Lehner |
2- 3+ 5+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
31350bi |
Isogeny class |
Conductor |
31350 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
8164407023437500 = 22 · 36 · 59 · 11 · 194 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 11+ -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-534600188,4757419413281] |
[a1,a2,a3,a4,a6] |
Generators |
[295636460:374222519:21952] |
Generators of the group modulo torsion |
j |
1081411559614045490773061881/522522049500 |
j-invariant |
L |
7.9689578314439 |
L(r)(E,1)/r! |
Ω |
0.17622610170078 |
Real period |
R |
11.305019169315 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
94050bp5 6270l4 |
Quadratic twists by: -3 5 |