Atkin-Lehner |
2+ 23- 43- |
Signs for the Atkin-Lehner involutions |
Class |
45494f |
Isogeny class |
Conductor |
45494 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
176640 |
Modular degree for the optimal curve |
Δ |
107755915746656 = 25 · 238 · 43 |
Discriminant |
Eigenvalues |
2+ 2 -1 -1 -5 -6 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-11913,27749] |
[a1,a2,a3,a4,a6] |
Generators |
[-1995:20306:27] |
Generators of the group modulo torsion |
j |
2387929/1376 |
j-invariant |
L |
4.519779438795 |
L(r)(E,1)/r! |
Ω |
0.50643544226327 |
Real period |
R |
2.9748967401018 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000026 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45494c1 |
Quadratic twists by: -23 |