Atkin-Lehner |
2- 3- 5- 31- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
103230be |
Isogeny class |
Conductor |
103230 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
141102506250000 = 24 · 39 · 58 · 31 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 4 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-13307,-146469] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:324:1] |
Generators of the group modulo torsion |
j |
357442391663209/193556250000 |
j-invariant |
L |
13.142866386813 |
L(r)(E,1)/r! |
Ω |
0.47379949783903 |
Real period |
R |
1.7337062471818 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999983039 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34410c1 |
Quadratic twists by: -3 |