Atkin-Lehner |
2- 3+ 5+ 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
67650bx |
Isogeny class |
Conductor |
67650 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
268800 |
Modular degree for the optimal curve |
Δ |
-106524396000000 = -1 · 28 · 310 · 56 · 11 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 11- 2 5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-11963,702281] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:982:1] |
Generators of the group modulo torsion |
j |
-12117869279209/6817561344 |
j-invariant |
L |
8.1815950408632 |
L(r)(E,1)/r! |
Ω |
0.55241422802635 |
Real period |
R |
0.92566350409988 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000478 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2706h1 |
Quadratic twists by: 5 |