Atkin-Lehner |
3- 5+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
14535h |
Isogeny class |
Conductor |
14535 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
29434617088425 = 312 · 52 · 17 · 194 |
Discriminant |
Eigenvalues |
1 3- 5+ -4 0 -2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-59175,-5519664] |
[a1,a2,a3,a4,a6] |
Generators |
[540:10674:1] |
Generators of the group modulo torsion |
j |
31435119227026801/40376703825 |
j-invariant |
L |
3.9372431033946 |
L(r)(E,1)/r! |
Ω |
0.30612453673961 |
Real period |
R |
3.2153932720718 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4845h1 72675bf1 |
Quadratic twists by: -3 5 |