Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
19600ch |
Isogeny class |
Conductor |
19600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-37647680000000000 = -1 · 215 · 510 · 76 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- 3 -4 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2460208,-1484481088] |
[a1,a2,a3,a4,a6] |
Generators |
[11521847874:-2872949746618:185193] |
Generators of the group modulo torsion |
j |
-349938025/8 |
j-invariant |
L |
3.9780104332046 |
L(r)(E,1)/r! |
Ω |
0.060273441837751 |
Real period |
R |
16.499847660571 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2450v4 78400hm4 19600dt2 400b4 |
Quadratic twists by: -4 8 5 -7 |