Atkin-Lehner |
2+ 3- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
71478q |
Isogeny class |
Conductor |
71478 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
2735016465456 = 24 · 316 · 11 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 3 1 11+ 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3573,21573] |
[a1,a2,a3,a4,a6] |
Generators |
[6:15:1] |
Generators of the group modulo torsion |
j |
19171513513/10392624 |
j-invariant |
L |
6.4385132043036 |
L(r)(E,1)/r! |
Ω |
0.70439393120628 |
Real period |
R |
2.2851251686324 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001519 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23826bm1 71478bs1 |
Quadratic twists by: -3 -19 |