Atkin-Lehner |
3- 7- 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
39627h |
Isogeny class |
Conductor |
39627 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
21081600 |
Modular degree for the optimal curve |
Δ |
-664014953399956011 = -1 · 311 · 76 · 17 · 374 |
Discriminant |
Eigenvalues |
-2 3- -3 7- -3 -7 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1704165879,27077958102982] |
[a1,a2,a3,a4,a6] |
Generators |
[23995:43123:1] |
Generators of the group modulo torsion |
j |
-750812994585932819911633948672/910857274897059 |
j-invariant |
L |
1.1749839987019 |
L(r)(E,1)/r! |
Ω |
0.12844350694865 |
Real period |
R |
0.3811610861115 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13209e1 |
Quadratic twists by: -3 |