Atkin-Lehner |
2- 3+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
38304bd |
Isogeny class |
Conductor |
38304 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
366967422331739712 = 26 · 39 · 76 · 195 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -4 2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-22291065,-40508319672] |
[a1,a2,a3,a4,a6] |
Generators |
[-57918707816:1566912340:21253933] |
Generators of the group modulo torsion |
j |
972399888658114344000/291310571251 |
j-invariant |
L |
6.0614014983567 |
L(r)(E,1)/r! |
Ω |
0.069481127596792 |
Real period |
R |
14.539683191701 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38304bb1 76608do1 38304d1 |
Quadratic twists by: -4 8 -3 |