Atkin-Lehner |
3- 5- 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
124425z |
Isogeny class |
Conductor |
124425 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-617419584313875 = -1 · 312 · 53 · 76 · 79 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 0 -6 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,10278,-1128789] |
[a1,a2,a3,a4,a6] |
Generators |
[78:339:1] [974:10587:8] |
Generators of the group modulo torsion |
j |
1317614126347/6775523559 |
j-invariant |
L |
14.60760684988 |
L(r)(E,1)/r! |
Ω |
0.25842024125825 |
Real period |
R |
4.7105465334196 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999934183 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41475t2 124425t2 |
Quadratic twists by: -3 5 |