Atkin-Lehner |
2- 3- 7+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
63756w |
Isogeny class |
Conductor |
63756 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
26112 |
Modular degree for the optimal curve |
Δ |
1301387472 = 24 · 38 · 72 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 11- 4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-696,-6851] |
[a1,a2,a3,a4,a6] |
Generators |
[35:108:1] |
Generators of the group modulo torsion |
j |
3196715008/111573 |
j-invariant |
L |
5.2461462824393 |
L(r)(E,1)/r! |
Ω |
0.93148852193868 |
Real period |
R |
2.8160015709267 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000534 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21252f1 |
Quadratic twists by: -3 |