Atkin-Lehner |
2+ 5+ 23+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
49450a |
Isogeny class |
Conductor |
49450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
301056 |
Modular degree for the optimal curve |
Δ |
-6329600000000 = -1 · 214 · 58 · 23 · 43 |
Discriminant |
Eigenvalues |
2+ 3 5+ 2 -5 7 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3067,138341] |
[a1,a2,a3,a4,a6] |
Generators |
[498:-8249:27] |
Generators of the group modulo torsion |
j |
-204232410369/405094400 |
j-invariant |
L |
8.979569216064 |
L(r)(E,1)/r! |
Ω |
0.67067572085128 |
Real period |
R |
1.6736048690954 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000064 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9890i1 |
Quadratic twists by: 5 |