Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
25872cv |
Isogeny class |
Conductor |
25872 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
81920 |
Modular degree for the optimal curve |
Δ |
-134956823113728 = -1 · 212 · 38 · 73 · 114 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11- 4 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,10792,-351660] |
[a1,a2,a3,a4,a6] |
Generators |
[52:594:1] |
Generators of the group modulo torsion |
j |
98931640625/96059601 |
j-invariant |
L |
6.7875542787928 |
L(r)(E,1)/r! |
Ω |
0.31819396360372 |
Real period |
R |
0.33330467493789 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1617d1 103488fe1 77616ew1 25872bu1 |
Quadratic twists by: -4 8 -3 -7 |