Atkin-Lehner |
3- 5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
12915i |
Isogeny class |
Conductor |
12915 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
128672145 = 37 · 5 · 7 · 412 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- -4 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8472240,9493850835] |
[a1,a2,a3,a4,a6] |
Generators |
[21134:585067:8] |
Generators of the group modulo torsion |
j |
92255222857130255543041/176505 |
j-invariant |
L |
4.8810353913531 |
L(r)(E,1)/r! |
Ω |
0.57458759012063 |
Real period |
R |
8.494850002466 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4305m5 64575j6 90405bu6 |
Quadratic twists by: -3 5 -7 |