Atkin-Lehner |
2+ 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
12600a |
Isogeny class |
Conductor |
12600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-317652300000000 = -1 · 28 · 33 · 58 · 76 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 2 2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1425,857250] |
[a1,a2,a3,a4,a6] |
Generators |
[-65:700:1] |
Generators of the group modulo torsion |
j |
2963088/2941225 |
j-invariant |
L |
4.6654835816389 |
L(r)(E,1)/r! |
Ω |
0.42458995085406 |
Real period |
R |
2.7470525222361 |
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 |
25200l2 100800j2 12600bi2 2520m2 |
Quadratic twists by: -4 8 -3 5 |