Atkin-Lehner |
2+ 3- 23- 61- |
Signs for the Atkin-Lehner involutions |
Class |
25254j |
Isogeny class |
Conductor |
25254 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
147840 |
Modular degree for the optimal curve |
Δ |
118375305441408 = 27 · 311 · 23 · 613 |
Discriminant |
Eigenvalues |
2+ 3- 4 3 -3 4 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-13455,298093] |
[a1,a2,a3,a4,a6] |
j |
369543396484081/162380391552 |
j-invariant |
L |
3.1856701007552 |
L(r)(E,1)/r! |
Ω |
0.53094501679255 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8418c1 |
Quadratic twists by: -3 |