Atkin-Lehner |
2- 7- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
81928q |
Isogeny class |
Conductor |
81928 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1040640 |
Modular degree for the optimal curve |
Δ |
5834406172672 = 211 · 72 · 115 · 192 |
Discriminant |
Eigenvalues |
2- 3 -4 7- 11+ -3 -8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-107947,-13650490] |
[a1,a2,a3,a4,a6] |
Generators |
[-48337086498:1736364286:253636137] |
Generators of the group modulo torsion |
j |
1386211225188258/58139411 |
j-invariant |
L |
7.8558748294793 |
L(r)(E,1)/r! |
Ω |
0.26338922432307 |
Real period |
R |
14.913052820725 |
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 |
81928k1 |
Quadratic twists by: -7 |