Atkin-Lehner |
7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
637d |
Isogeny class |
Conductor |
637 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
192 |
Modular degree for the optimal curve |
Δ |
-10706059 = -1 · 77 · 13 |
Discriminant |
Eigenvalues |
-2 0 3 7- -6 13- -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,49,-86] |
[a1,a2,a3,a4,a6] |
Generators |
[7:24:1] |
Generators of the group modulo torsion |
j |
110592/91 |
j-invariant |
L |
1.2952727036516 |
L(r)(E,1)/r! |
Ω |
1.261847555736 |
Real period |
R |
0.51324452694926 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10192bh1 40768o1 5733l1 15925j1 |
Quadratic twists by: -4 8 -3 5 |