Atkin-Lehner |
2+ 5+ 43+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
101050a |
Isogeny class |
Conductor |
101050 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
478800 |
Modular degree for the optimal curve |
Δ |
-4671036250000000 = -1 · 27 · 510 · 433 · 47 |
Discriminant |
Eigenvalues |
2+ -2 5+ 0 -2 -2 1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,22174,3034548] |
[a1,a2,a3,a4,a6] |
Generators |
[2238:105009:1] |
Generators of the group modulo torsion |
j |
123476398175/478314112 |
j-invariant |
L |
2.3996725254607 |
L(r)(E,1)/r! |
Ω |
0.30932827125265 |
Real period |
R |
7.7576889796783 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001859 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101050t1 |
Quadratic twists by: 5 |