Atkin-Lehner |
2+ 3+ 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
63840g |
Isogeny class |
Conductor |
63840 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-1340333568000 = -1 · 212 · 39 · 53 · 7 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -6 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-83741,-9299595] |
[a1,a2,a3,a4,a6] |
Generators |
[1577112863:50062336124:1442897] |
Generators of the group modulo torsion |
j |
-15855625465767424/327229875 |
j-invariant |
L |
4.3651446220397 |
L(r)(E,1)/r! |
Ω |
0.14032467769215 |
Real period |
R |
15.553731152443 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000655 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63840br1 127680dd1 |
Quadratic twists by: -4 8 |