Atkin-Lehner |
2- 3+ 5- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
104880ci |
Isogeny class |
Conductor |
104880 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
360000 |
Modular degree for the optimal curve |
Δ |
-30667960800000 = -1 · 28 · 35 · 55 · 193 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 -4 7 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14005,696025] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:950:1] |
Generators of the group modulo torsion |
j |
-1186763268161536/119796721875 |
j-invariant |
L |
5.856969697548 |
L(r)(E,1)/r! |
Ω |
0.64391117544523 |
Real period |
R |
0.30319760018349 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006417 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26220i1 |
Quadratic twists by: -4 |