Atkin-Lehner |
3- 5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
12915i |
Isogeny class |
Conductor |
12915 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
22711276953225 = 38 · 52 · 72 · 414 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- -4 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-529515,148440600] |
[a1,a2,a3,a4,a6] |
Generators |
[-300:16890:1] |
Generators of the group modulo torsion |
j |
22523270198753323441/31154015025 |
j-invariant |
L |
4.8810353913531 |
L(r)(E,1)/r! |
Ω |
0.57458759012063 |
Real period |
R |
4.247425001233 |
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 |
4305m3 64575j4 90405bu4 |
Quadratic twists by: -3 5 -7 |