Atkin-Lehner |
2+ 3+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
72864a |
Isogeny class |
Conductor |
72864 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
423936 |
Modular degree for the optimal curve |
Δ |
224401375750464 = 26 · 39 · 114 · 233 |
Discriminant |
Eigenvalues |
2+ 3+ -2 2 11+ -2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-439101,111991680] |
[a1,a2,a3,a4,a6] |
Generators |
[1059:28890:1] |
Generators of the group modulo torsion |
j |
7432684940356416/178137047 |
j-invariant |
L |
4.9599542076022 |
L(r)(E,1)/r! |
Ω |
0.51793079527436 |
Real period |
R |
4.7882402954488 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999984457 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72864f1 72864v1 |
Quadratic twists by: -4 -3 |