Atkin-Lehner |
2- 5+ 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
81340b |
Isogeny class |
Conductor |
81340 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
148608 |
Modular degree for the optimal curve |
Δ |
17088517250000 = 24 · 56 · 77 · 83 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 0 -6 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7448,-147147] |
[a1,a2,a3,a4,a6] |
Generators |
[231:3234:1] |
Generators of the group modulo torsion |
j |
24273616896/9078125 |
j-invariant |
L |
3.3827260954077 |
L(r)(E,1)/r! |
Ω |
0.53019861598192 |
Real period |
R |
3.1900555662286 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009365 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11620f1 |
Quadratic twists by: -7 |