Atkin-Lehner |
2+ 3+ 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
74400m |
Isogeny class |
Conductor |
74400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
1081125000000 = 26 · 32 · 59 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 4 4 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-37758,-2810988] |
[a1,a2,a3,a4,a6] |
j |
5953360210624/1081125 |
j-invariant |
L |
2.7399401025508 |
L(r)(E,1)/r! |
Ω |
0.34249251388996 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74400cn1 14880s1 |
Quadratic twists by: -4 5 |