Atkin-Lehner |
2+ 3- 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
49056i |
Isogeny class |
Conductor |
49056 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
4775681659392 = 29 · 36 · 74 · 732 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- -6 -4 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8968,-312520] |
[a1,a2,a3,a4,a6] |
Generators |
[-58:126:1] [-49:108:1] |
Generators of the group modulo torsion |
j |
155807721341000/9327503241 |
j-invariant |
L |
10.862054503465 |
L(r)(E,1)/r! |
Ω |
0.49242977118645 |
Real period |
R |
0.9190866003505 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49056b2 98112bq2 |
Quadratic twists by: -4 8 |