Atkin-Lehner |
2+ 3+ 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
27840w |
Isogeny class |
Conductor |
27840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
23863349666119680 = 228 · 36 · 5 · 293 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 6 4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-181025,28758945] |
[a1,a2,a3,a4,a6] |
j |
2502660030961609/91031454720 |
j-invariant |
L |
3.0108400402544 |
L(r)(E,1)/r! |
Ω |
0.37635500503178 |
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 |
27840eb1 870b1 83520bm1 |
Quadratic twists by: -4 8 -3 |