Atkin-Lehner |
2- 3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
101640cv |
Isogeny class |
Conductor |
101640 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
14143009224960 = 28 · 34 · 5 · 7 · 117 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11- 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16980,826560] |
[a1,a2,a3,a4,a6] |
Generators |
[-66:1290:1] |
Generators of the group modulo torsion |
j |
1193895376/31185 |
j-invariant |
L |
9.6844679507678 |
L(r)(E,1)/r! |
Ω |
0.70222877440217 |
Real period |
R |
3.4477610050631 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011048 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9240p1 |
Quadratic twists by: -11 |