Atkin-Lehner |
2+ 3+ 5+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
113850d |
Isogeny class |
Conductor |
113850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
49920 |
Modular degree for the optimal curve |
Δ |
-60112800 = -1 · 25 · 33 · 52 · 112 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 3 11+ 4 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-537,4941] |
[a1,a2,a3,a4,a6] |
Generators |
[13:-12:1] |
Generators of the group modulo torsion |
j |
-25397889795/89056 |
j-invariant |
L |
6.3491440076232 |
L(r)(E,1)/r! |
Ω |
1.9824771070642 |
Real period |
R |
0.80065792303568 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999930575 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113850dn1 113850dq1 |
Quadratic twists by: -3 5 |