Atkin-Lehner |
2+ 3+ 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
20400t |
Isogeny class |
Conductor |
20400 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
11791200000000 = 211 · 3 · 58 · 173 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 3 1 0 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-18208,-925088] |
[a1,a2,a3,a4,a6] |
Generators |
[-84:68:1] |
Generators of the group modulo torsion |
j |
834534530/14739 |
j-invariant |
L |
5.0252591521571 |
L(r)(E,1)/r! |
Ω |
0.41143141800562 |
Real period |
R |
1.017840587 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10200bs1 81600jv1 61200ch1 20400w1 |
Quadratic twists by: -4 8 -3 5 |