Atkin-Lehner |
2+ 3+ 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
74400d |
Isogeny class |
Conductor |
74400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
216225000000 = 26 · 32 · 58 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 4 2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7758,-259488] |
[a1,a2,a3,a4,a6] |
Generators |
[18702:2557500:1] |
Generators of the group modulo torsion |
j |
51645087424/216225 |
j-invariant |
L |
4.8969661770479 |
L(r)(E,1)/r! |
Ω |
0.50882311589893 |
Real period |
R |
4.8120515994761 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992325 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
74400bg1 14880p1 |
Quadratic twists by: -4 5 |