Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800ki |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-35294700000000 = -1 · 28 · 3 · 58 · 76 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -6 -5 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1486333,-697960537] |
[a1,a2,a3,a4,a6] |
Generators |
[3931476973:43758346638:2685619] |
Generators of the group modulo torsion |
j |
-30866268160/3 |
j-invariant |
L |
6.91484839542 |
L(r)(E,1)/r! |
Ω |
0.06836605216845 |
Real period |
R |
16.857412356351 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999187 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14700y2 58800gj2 1200l2 |
Quadratic twists by: -4 5 -7 |