Atkin-Lehner |
2- 3+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
7800o |
Isogeny class |
Conductor |
7800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-914062500000000000 = -1 · 211 · 32 · 518 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 0 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5408,46000812] |
[a1,a2,a3,a4,a6] |
Generators |
[2773:146104:1] |
Generators of the group modulo torsion |
j |
-546718898/28564453125 |
j-invariant |
L |
3.5740805758407 |
L(r)(E,1)/r! |
Ω |
0.22318891203911 |
Real period |
R |
8.006850661144 |
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 |
15600r4 62400bz3 23400n3 1560c4 |
Quadratic twists by: -4 8 -3 5 |