Atkin-Lehner |
3- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
9675m |
Isogeny class |
Conductor |
9675 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
15353662640625 = 312 · 56 · 432 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 0 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6642,90391] |
[a1,a2,a3,a4,a6] |
Generators |
[4874:337763:1] |
Generators of the group modulo torsion |
j |
2845178713/1347921 |
j-invariant |
L |
5.1689991045398 |
L(r)(E,1)/r! |
Ω |
0.62398849473176 |
Real period |
R |
4.1419025736699 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3225c2 387d2 |
Quadratic twists by: -3 5 |