Atkin-Lehner |
3+ 5- 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
39975k |
Isogeny class |
Conductor |
39975 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
19968 |
Modular degree for the optimal curve |
Δ |
26983125 = 34 · 54 · 13 · 41 |
Discriminant |
Eigenvalues |
-2 3+ 5- 3 -1 13- -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-358,2718] |
[a1,a2,a3,a4,a6] |
Generators |
[7:-23:1] |
Generators of the group modulo torsion |
j |
8141516800/43173 |
j-invariant |
L |
2.5896341108607 |
L(r)(E,1)/r! |
Ω |
2.121405650278 |
Real period |
R |
0.20345268953497 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999937 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119925bu1 39975p1 |
Quadratic twists by: -3 5 |