Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
121968ga |
Isogeny class |
Conductor |
121968 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
760320 |
Modular degree for the optimal curve |
Δ |
-8961010644934656 = -1 · 213 · 36 · 7 · 118 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11- -7 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,51909,146410] |
[a1,a2,a3,a4,a6] |
Generators |
[213:4568:1] |
Generators of the group modulo torsion |
j |
24167/14 |
j-invariant |
L |
4.3001111662424 |
L(r)(E,1)/r! |
Ω |
0.24669109368958 |
Real period |
R |
4.3577892346699 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999924763 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15246bj1 13552y1 121968en1 |
Quadratic twists by: -4 -3 -11 |