Atkin-Lehner |
2+ 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
46550l |
Isogeny class |
Conductor |
46550 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
1226749652800 = 26 · 52 · 79 · 19 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7- -3 -1 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2965,-33235] |
[a1,a2,a3,a4,a6] |
Generators |
[-46:115:1] [-29:186:1] |
Generators of the group modulo torsion |
j |
2858935/1216 |
j-invariant |
L |
5.6352618757539 |
L(r)(E,1)/r! |
Ω |
0.67215689225933 |
Real period |
R |
2.0959622450689 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46550cu1 46550u1 |
Quadratic twists by: 5 -7 |