Atkin-Lehner |
2+ 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
27360h |
Isogeny class |
Conductor |
27360 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
25600 |
Modular degree for the optimal curve |
Δ |
-261724063680 = -1 · 26 · 316 · 5 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 4 6 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1173,-29068] |
[a1,a2,a3,a4,a6] |
j |
-3825694144/5609655 |
j-invariant |
L |
3.1000632589217 |
L(r)(E,1)/r! |
Ω |
0.38750790736522 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27360y1 54720cg1 9120o1 |
Quadratic twists by: -4 8 -3 |