Atkin-Lehner |
2+ 5- 19- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
46360c |
Isogeny class |
Conductor |
46360 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
969848882000 = 24 · 53 · 194 · 612 |
Discriminant |
Eigenvalues |
2+ 0 5- -2 0 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7382,239481] |
[a1,a2,a3,a4,a6] |
Generators |
[72:285:1] |
Generators of the group modulo torsion |
j |
2780518903842816/60615555125 |
j-invariant |
L |
5.5374319990206 |
L(r)(E,1)/r! |
Ω |
0.87969362698423 |
Real period |
R |
0.52456065660783 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92720b1 |
Quadratic twists by: -4 |