Atkin-Lehner |
2- 67- |
Signs for the Atkin-Lehner involutions |
Class |
71824c |
Isogeny class |
Conductor |
71824 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
61776 |
Modular degree for the optimal curve |
Δ |
-150625845248 = -1 · 225 · 672 |
Discriminant |
Eigenvalues |
2- -1 -2 -4 -4 0 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-424,-18832] |
[a1,a2,a3,a4,a6] |
Generators |
[68:-512:1] |
Generators of the group modulo torsion |
j |
-459553/8192 |
j-invariant |
L |
1.4495727177414 |
L(r)(E,1)/r! |
Ω |
0.44234181084194 |
Real period |
R |
0.81926051471804 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999945829 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8978a1 71824b1 |
Quadratic twists by: -4 -67 |