Atkin-Lehner |
2- 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
58800ew |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-2333772000000 = -1 · 28 · 35 · 56 · 74 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -2 3 -8 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3267,14337] |
[a1,a2,a3,a4,a6] |
j |
401408/243 |
j-invariant |
L |
2.0104951691833 |
L(r)(E,1)/r! |
Ω |
0.50262379148254 |
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 |
14700z1 2352s1 58800im1 |
Quadratic twists by: -4 5 -7 |