Atkin-Lehner |
2+ 3+ 5+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
38280c |
Isogeny class |
Conductor |
38280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
14336 |
Modular degree for the optimal curve |
Δ |
177619200 = 28 · 3 · 52 · 11 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 11- 6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-236,-1164] |
[a1,a2,a3,a4,a6] |
j |
5702413264/693825 |
j-invariant |
L |
2.4546853877536 |
L(r)(E,1)/r! |
Ω |
1.2273426938481 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76560i1 114840bg1 |
Quadratic twists by: -4 -3 |