Atkin-Lehner |
2+ 3- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
59850bw |
Isogeny class |
Conductor |
59850 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
10813440 |
Modular degree for the optimal curve |
Δ |
25769352656250000 = 24 · 311 · 510 · 72 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-662792292,6567880527616] |
[a1,a2,a3,a4,a6] |
Generators |
[421500:-4505992:27] |
Generators of the group modulo torsion |
j |
2826887369998878529467769/2262330000 |
j-invariant |
L |
5.2759130933826 |
L(r)(E,1)/r! |
Ω |
0.16461694941992 |
Real period |
R |
8.0124086737067 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998054 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19950ca1 11970bx1 |
Quadratic twists by: -3 5 |