Atkin-Lehner |
2- 5- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
64960by |
Isogeny class |
Conductor |
64960 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
478024400000000 = 210 · 58 · 72 · 293 |
Discriminant |
Eigenvalues |
2- 2 5- 7- 4 2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-26685,-1298275] |
[a1,a2,a3,a4,a6] |
Generators |
[260:3045:1] |
Generators of the group modulo torsion |
j |
2052303811262464/466820703125 |
j-invariant |
L |
11.208329685253 |
L(r)(E,1)/r! |
Ω |
0.37963243605459 |
Real period |
R |
1.2301734322847 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000378 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64960q1 16240e1 |
Quadratic twists by: -4 8 |