Atkin-Lehner |
3- 5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
12915i |
Isogeny class |
Conductor |
12915 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
148954091855625 = 310 · 54 · 74 · 412 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- -4 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-33390,2282175] |
[a1,a2,a3,a4,a6] |
Generators |
[126:189:1] |
Generators of the group modulo torsion |
j |
5647454716105441/204326600625 |
j-invariant |
L |
4.8810353913531 |
L(r)(E,1)/r! |
Ω |
0.57458759012063 |
Real period |
R |
2.1237125006165 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4305m2 64575j2 90405bu2 |
Quadratic twists by: -3 5 -7 |