Atkin-Lehner |
2+ 3- 19- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
42864a |
Isogeny class |
Conductor |
42864 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
13568 |
Modular degree for the optimal curve |
Δ |
13030656 = 28 · 3 · 192 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 3 1 -3 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-209,1083] |
[a1,a2,a3,a4,a6] |
Generators |
[6:9:1] |
Generators of the group modulo torsion |
j |
3962770432/50901 |
j-invariant |
L |
9.0676642683317 |
L(r)(E,1)/r! |
Ω |
2.2496418778026 |
Real period |
R |
2.0153572792618 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21432a1 128592c1 |
Quadratic twists by: -4 -3 |