Atkin-Lehner |
3- 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
69825ch |
Isogeny class |
Conductor |
69825 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-495090889453125 = -1 · 34 · 58 · 77 · 19 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- -2 -1 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-129263,17909142] |
[a1,a2,a3,a4,a6] |
Generators |
[277:-1976:1] |
Generators of the group modulo torsion |
j |
-5197545985/10773 |
j-invariant |
L |
4.2130824412474 |
L(r)(E,1)/r! |
Ω |
0.52441716984094 |
Real period |
R |
0.33474323843298 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999785 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69825o1 9975f1 |
Quadratic twists by: 5 -7 |