Atkin-Lehner |
2+ 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
49600k |
Isogeny class |
Conductor |
49600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
1922000000000 = 210 · 59 · 312 |
Discriminant |
Eigenvalues |
2+ 2 5+ 4 -4 4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3133,-9363] |
[a1,a2,a3,a4,a6] |
Generators |
[-39:228:1] |
Generators of the group modulo torsion |
j |
212629504/120125 |
j-invariant |
L |
9.7780172520127 |
L(r)(E,1)/r! |
Ω |
0.68771824443592 |
Real period |
R |
3.554514269142 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000026 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49600ck1 6200c1 9920k1 |
Quadratic twists by: -4 8 5 |