Atkin-Lehner |
2+ 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
20400bj |
Isogeny class |
Conductor |
20400 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
59904 |
Modular degree for the optimal curve |
Δ |
-33879363750000 = -1 · 24 · 313 · 57 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 -5 2 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12908,-634437] |
[a1,a2,a3,a4,a6] |
Generators |
[193:2025:1] |
Generators of the group modulo torsion |
j |
-951468070144/135517455 |
j-invariant |
L |
5.2619310713561 |
L(r)(E,1)/r! |
Ω |
0.22219592712103 |
Real period |
R |
0.9108266155243 |
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 |
10200h1 81600gr1 61200bo1 4080c1 |
Quadratic twists by: -4 8 -3 5 |