Atkin-Lehner |
5- 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
19355j |
Isogeny class |
Conductor |
19355 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
143616 |
Modular degree for the optimal curve |
Δ |
3176752783203125 = 511 · 77 · 79 |
Discriminant |
Eigenvalues |
0 2 5- 7- -5 -5 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-287695,59428613] |
[a1,a2,a3,a4,a6] |
Generators |
[369:1837:1] |
Generators of the group modulo torsion |
j |
22383805528244224/27001953125 |
j-invariant |
L |
5.6726234189 |
L(r)(E,1)/r! |
Ω |
0.44711526677252 |
Real period |
R |
0.28834457040816 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96775c1 2765a1 |
Quadratic twists by: 5 -7 |