Atkin-Lehner |
3- 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
63063be |
Isogeny class |
Conductor |
63063 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
3085259267467377 = 39 · 77 · 114 · 13 |
Discriminant |
Eigenvalues |
-1 3- -2 7- 11- 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-40361,1622072] |
[a1,a2,a3,a4,a6] |
Generators |
[-186:1726:1] |
Generators of the group modulo torsion |
j |
84778086457/35972937 |
j-invariant |
L |
2.2777916540477 |
L(r)(E,1)/r! |
Ω |
0.40607114874672 |
Real period |
R |
1.4023353181717 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988382 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
21021k1 9009l1 |
Quadratic twists by: -3 -7 |