Atkin-Lehner |
2+ 3+ 7- 13- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
39858c |
Isogeny class |
Conductor |
39858 |
Conductor |
∏ cp |
25 |
Product of Tamagawa factors cp |
deg |
316800 |
Modular degree for the optimal curve |
Δ |
-25189731491678208 = -1 · 211 · 33 · 75 · 135 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 4 13- 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,6650,7635988] |
[a1,a2,a3,a4,a6] |
Generators |
[201:4040:1] |
Generators of the group modulo torsion |
j |
32515212838484375/25189731491678208 |
j-invariant |
L |
4.017816167867 |
L(r)(E,1)/r! |
Ω |
0.29449768381968 |
Real period |
R |
0.54571786314348 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999938 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119574bi1 |
Quadratic twists by: -3 |