Atkin-Lehner |
2- 7- 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
62608y |
Isogeny class |
Conductor |
62608 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
-118400132674224128 = -1 · 219 · 75 · 132 · 433 |
Discriminant |
Eigenvalues |
2- -1 -2 7- 1 13- -2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,216,16555120] |
[a1,a2,a3,a4,a6] |
Generators |
[708:-19264:1] |
Generators of the group modulo torsion |
j |
270840023/28906282391168 |
j-invariant |
L |
3.9440481338891 |
L(r)(E,1)/r! |
Ω |
0.26340386529675 |
Real period |
R |
0.1247782288455 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998849 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7826b1 |
Quadratic twists by: -4 |