Atkin-Lehner |
2+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
96800be |
Isogeny class |
Conductor |
96800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
608256 |
Modular degree for the optimal curve |
Δ |
8299975872320000 = 29 · 54 · 1110 |
Discriminant |
Eigenvalues |
2+ 2 5- 3 11- -4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-122008,-15766188] |
[a1,a2,a3,a4,a6] |
Generators |
[-6977443446372:22660525331326:38648755341] |
Generators of the group modulo torsion |
j |
24200 |
j-invariant |
L |
10.660456392701 |
L(r)(E,1)/r! |
Ω |
0.25609922900768 |
Real period |
R |
20.813136443259 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96800bf1 96800cc1 96800ck1 |
Quadratic twists by: -4 5 -11 |