Atkin-Lehner |
3+ 5- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
16275m |
Isogeny class |
Conductor |
16275 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
100800 |
Modular degree for the optimal curve |
Δ |
2630303248125 = 3 · 54 · 72 · 315 |
Discriminant |
Eigenvalues |
2 3+ 5- 7+ -3 -4 7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-80508,-8765257] |
[a1,a2,a3,a4,a6] |
Generators |
[3418:47085:8] |
Generators of the group modulo torsion |
j |
92334967990374400/4208485197 |
j-invariant |
L |
7.5785938971605 |
L(r)(E,1)/r! |
Ω |
0.28342655194817 |
Real period |
R |
2.6739181086133 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48825bu1 16275w2 113925da1 |
Quadratic twists by: -3 5 -7 |