Atkin-Lehner |
2+ 5- 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
39950k |
Isogeny class |
Conductor |
39950 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-60084800000000 = -1 · 212 · 58 · 17 · 472 |
Discriminant |
Eigenvalues |
2+ 3 5- -3 0 5 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8617,-481459] |
[a1,a2,a3,a4,a6] |
Generators |
[169650:2229191:729] |
Generators of the group modulo torsion |
j |
-181159163145/153817088 |
j-invariant |
L |
7.6451738315502 |
L(r)(E,1)/r! |
Ω |
0.23919675662262 |
Real period |
R |
7.9904656103002 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999957 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39950s1 |
Quadratic twists by: 5 |