Atkin-Lehner |
2+ 3+ 5+ 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
47850c |
Isogeny class |
Conductor |
47850 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
326592 |
Modular degree for the optimal curve |
Δ |
-3104538624000000 = -1 · 221 · 33 · 56 · 112 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 1 11+ 4 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,23325,-2293875] |
[a1,a2,a3,a4,a6] |
Generators |
[75655:1874264:125] |
Generators of the group modulo torsion |
j |
89813071796687/198690471936 |
j-invariant |
L |
3.9959901911056 |
L(r)(E,1)/r! |
Ω |
0.23319442306453 |
Real period |
R |
8.5679368713078 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999743 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1914n1 |
Quadratic twists by: 5 |