Atkin-Lehner |
2- 3- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
62496be |
Isogeny class |
Conductor |
62496 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
-37995533321602752 = -1 · 26 · 37 · 710 · 312 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 6 -6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15825,9409556] |
[a1,a2,a3,a4,a6] |
Generators |
[-161:2790:1] |
Generators of the group modulo torsion |
j |
-9393931000000/814376142867 |
j-invariant |
L |
5.9354949021634 |
L(r)(E,1)/r! |
Ω |
0.30020752614879 |
Real period |
R |
2.4714132663377 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998904 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62496r1 124992bc2 20832a1 |
Quadratic twists by: -4 8 -3 |