Atkin-Lehner |
2+ 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
12600ba |
Isogeny class |
Conductor |
12600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-8003008282752000 = -1 · 210 · 312 · 53 · 76 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -2 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-137955,20186350] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:4860:1] |
Generators of the group modulo torsion |
j |
-3111705953492/85766121 |
j-invariant |
L |
4.419317431633 |
L(r)(E,1)/r! |
Ω |
0.41405934387635 |
Real period |
R |
1.3341437335588 |
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 |
25200ci2 100800gn2 4200bb2 12600cl2 |
Quadratic twists by: -4 8 -3 5 |