Atkin-Lehner |
2- 3- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
62496bf |
Isogeny class |
Conductor |
62496 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-1943875584 = -1 · 212 · 37 · 7 · 31 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ 4 5 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,312,16] |
[a1,a2,a3,a4,a6] |
Generators |
[0:4:1] |
Generators of the group modulo torsion |
j |
1124864/651 |
j-invariant |
L |
6.475870804385 |
L(r)(E,1)/r! |
Ω |
0.88317902560193 |
Real period |
R |
1.8331138468557 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000079 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62496t1 124992bg1 20832k1 |
Quadratic twists by: -4 8 -3 |