Atkin-Lehner |
2- 3- 7- 13- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
32214bf |
Isogeny class |
Conductor |
32214 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8448 |
Modular degree for the optimal curve |
Δ |
-22098804 = -1 · 22 · 3 · 74 · 13 · 59 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 3 13- 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,59,149] |
[a1,a2,a3,a4,a6] |
Generators |
[10:37:1] |
Generators of the group modulo torsion |
j |
22689222191/22098804 |
j-invariant |
L |
10.75601352113 |
L(r)(E,1)/r! |
Ω |
1.4103566016105 |
Real period |
R |
0.95330619830898 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96642ba1 |
Quadratic twists by: -3 |