Atkin-Lehner |
2- 3- 11+ 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
104346bt |
Isogeny class |
Conductor |
104346 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
-4348017048683088 = -1 · 24 · 318 · 113 · 17 · 31 |
Discriminant |
Eigenvalues |
2- 3- 0 2 11+ 5 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,26995,2667269] |
[a1,a2,a3,a4,a6] |
Generators |
[981:30694:1] |
Generators of the group modulo torsion |
j |
2984429069984375/5964358091472 |
j-invariant |
L |
12.972070228761 |
L(r)(E,1)/r! |
Ω |
0.30179254161596 |
Real period |
R |
5.3729252941272 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999887009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34782m1 |
Quadratic twists by: -3 |