Atkin-Lehner |
2- 3+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
25992t |
Isogeny class |
Conductor |
25992 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-5348599541376048 = -1 · 24 · 39 · 198 |
Discriminant |
Eigenvalues |
2- 3+ -4 0 6 -2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-58482,-6481755] |
[a1,a2,a3,a4,a6] |
Generators |
[532266:20692881:343] |
Generators of the group modulo torsion |
j |
-1492992/361 |
j-invariant |
L |
3.8734044095974 |
L(r)(E,1)/r! |
Ω |
0.15156627670368 |
Real period |
R |
6.3889614725611 |
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 |
51984h1 25992d1 1368a1 |
Quadratic twists by: -4 -3 -19 |