Atkin-Lehner |
2- 3- 5- 17- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
65790cr |
Isogeny class |
Conductor |
65790 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-12949445700 = -1 · 22 · 311 · 52 · 17 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 0 -7 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-617,-7891] |
[a1,a2,a3,a4,a6] |
Generators |
[39:142:1] |
Generators of the group modulo torsion |
j |
-35578826569/17763300 |
j-invariant |
L |
8.7823619226187 |
L(r)(E,1)/r! |
Ω |
0.46793799481677 |
Real period |
R |
1.17301357487 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000841 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21930m1 |
Quadratic twists by: -3 |