Atkin-Lehner |
2+ 3+ 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
6450c |
Isogeny class |
Conductor |
6450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-2238564013003125000 = -1 · 23 · 318 · 58 · 432 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 0 -2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-414150,125149500] |
[a1,a2,a3,a4,a6] |
Generators |
[295:5215:1] |
Generators of the group modulo torsion |
j |
-502780379797811809/143268096832200 |
j-invariant |
L |
2.3376216407534 |
L(r)(E,1)/r! |
Ω |
0.24630772381827 |
Real period |
R |
4.7453275206224 |
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 |
51600dh2 19350ca2 1290n2 |
Quadratic twists by: -4 -3 5 |