Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
100800jn |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-677376000000000000 = -1 · 221 · 33 · 512 · 72 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,117300,-36454000] |
[a1,a2,a3,a4,a6] |
Generators |
[274:4032:1] |
Generators of the group modulo torsion |
j |
1613964717/6125000 |
j-invariant |
L |
7.3990793614009 |
L(r)(E,1)/r! |
Ω |
0.14567427750015 |
Real period |
R |
3.1744963349253 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001523 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100800c2 25200cx2 100800jo4 20160cr2 |
Quadratic twists by: -4 8 -3 5 |