Atkin-Lehner |
3- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
64251w |
Isogeny class |
Conductor |
64251 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
557568 |
Modular degree for the optimal curve |
Δ |
-6721226786573739 = -1 · 312 · 118 · 59 |
Discriminant |
Eigenvalues |
-2 3- 3 0 11- 4 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-187671,31540374] |
[a1,a2,a3,a4,a6] |
Generators |
[242:-545:1] |
Generators of the group modulo torsion |
j |
-4677849088/43011 |
j-invariant |
L |
4.1841690759786 |
L(r)(E,1)/r! |
Ω |
0.42337816884646 |
Real period |
R |
0.82356810526582 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000108 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21417o1 64251s1 |
Quadratic twists by: -3 -11 |