Atkin-Lehner |
2- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
61600bp |
Isogeny class |
Conductor |
61600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-240625000000000 = -1 · 29 · 514 · 7 · 11 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 11- -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,15325,154250] |
[a1,a2,a3,a4,a6] |
Generators |
[134:2148:1] [-62:1497:8] |
Generators of the group modulo torsion |
j |
49754821752/30078125 |
j-invariant |
L |
9.8695042093672 |
L(r)(E,1)/r! |
Ω |
0.34141126933273 |
Real period |
R |
28.907962612552 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999925 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61600c2 123200bk3 12320c4 |
Quadratic twists by: -4 8 5 |