Atkin-Lehner |
2- 3- 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
77658bh |
Isogeny class |
Conductor |
77658 |
Conductor |
∏ cp |
260 |
Product of Tamagawa factors cp |
deg |
262080 |
Modular degree for the optimal curve |
Δ |
-43826368094208 = -1 · 213 · 310 · 72 · 432 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -3 -2 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,456,318528] |
[a1,a2,a3,a4,a6] |
Generators |
[-48:-408:1] [-64:200:1] |
Generators of the group modulo torsion |
j |
5670505847/23702740992 |
j-invariant |
L |
15.912939571318 |
L(r)(E,1)/r! |
Ω |
0.50392319735641 |
Real period |
R |
0.12145424949117 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999552 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77658h1 |
Quadratic twists by: -43 |