Atkin-Lehner |
3- 7- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
47481q |
Isogeny class |
Conductor |
47481 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
299520 |
Modular degree for the optimal curve |
Δ |
25271483366595501 = 36 · 77 · 17 · 195 |
Discriminant |
Eigenvalues |
0 3- -1 7- 0 -5 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-79151,3842024] |
[a1,a2,a3,a4,a6] |
Generators |
[268:1396:1] [-1846:25133:8] |
Generators of the group modulo torsion |
j |
466133351366656/214804064349 |
j-invariant |
L |
8.9031423499322 |
L(r)(E,1)/r! |
Ω |
0.33776901277906 |
Real period |
R |
0.21965559334667 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6783b1 |
Quadratic twists by: -7 |