Atkin-Lehner |
2+ 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
64960h |
Isogeny class |
Conductor |
64960 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
1114064000000 = 210 · 56 · 74 · 29 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- -6 -2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-604101,180924101] |
[a1,a2,a3,a4,a6] |
Generators |
[2458:39375:8] |
Generators of the group modulo torsion |
j |
23809656960517881856/1087953125 |
j-invariant |
L |
7.8028815655427 |
L(r)(E,1)/r! |
Ω |
0.64891000468124 |
Real period |
R |
3.006149354119 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996503 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64960be1 4060g1 |
Quadratic twists by: -4 8 |