Atkin-Lehner |
2- 3+ 19- 59- |
Signs for the Atkin-Lehner involutions |
Class |
6726g |
Isogeny class |
Conductor |
6726 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-6281330688 = -1 · 215 · 32 · 192 · 59 |
Discriminant |
Eigenvalues |
2- 3+ -2 -5 -3 -7 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2584,49625] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:253:1] [-31:333:1] |
Generators of the group modulo torsion |
j |
-1908146629143937/6281330688 |
j-invariant |
L |
5.4265552319634 |
L(r)(E,1)/r! |
Ω |
1.3453746613187 |
Real period |
R |
0.06722483320055 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53808q1 20178f1 127794t1 |
Quadratic twists by: -4 -3 -19 |