Atkin-Lehner |
2+ 3+ 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
110400cn |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
-39675000000 = -1 · 26 · 3 · 58 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 3 -2 3 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11333,-460713] |
[a1,a2,a3,a4,a6] |
Generators |
[449120334:39072870143:59319] |
Generators of the group modulo torsion |
j |
-6439567360/1587 |
j-invariant |
L |
6.8015407044823 |
L(r)(E,1)/r! |
Ω |
0.23135224738588 |
Real period |
R |
14.699534506818 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000025178 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110400jc1 1725t1 110400df1 |
Quadratic twists by: -4 8 5 |