Atkin-Lehner |
2+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
72800q |
Isogeny class |
Conductor |
72800 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
289835000000000 = 29 · 510 · 73 · 132 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 4 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15458075,23392747250] |
[a1,a2,a3,a4,a6] |
Generators |
[2414:12012:1] |
Generators of the group modulo torsion |
j |
51062250920183481672/36229375 |
j-invariant |
L |
6.8680536469603 |
L(r)(E,1)/r! |
Ω |
0.338991222192 |
Real period |
R |
3.3767116455777 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000894 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72800bm4 14560j3 |
Quadratic twists by: -4 5 |