Atkin-Lehner |
2+ 3+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
31200j |
Isogeny class |
Conductor |
31200 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
25920 |
Modular degree for the optimal curve |
Δ |
-128318860800 = -1 · 29 · 33 · 52 · 135 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 0 13- 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,312,-17208] |
[a1,a2,a3,a4,a6] |
j |
261568120/10024911 |
j-invariant |
L |
2.5042887710567 |
L(r)(E,1)/r! |
Ω |
0.50085775421025 |
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 |
31200y1 62400gr1 93600em1 31200ci1 |
Quadratic twists by: -4 8 -3 5 |