Atkin-Lehner |
2+ 7+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
11704a |
Isogeny class |
Conductor |
11704 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
9984 |
Modular degree for the optimal curve |
Δ |
-26389172656 = -1 · 24 · 72 · 116 · 19 |
Discriminant |
Eigenvalues |
2+ 2 -2 7+ 11- -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3099,67904] |
[a1,a2,a3,a4,a6] |
Generators |
[35:33:1] |
Generators of the group modulo torsion |
j |
-205782571927552/1649323291 |
j-invariant |
L |
5.5078606040778 |
L(r)(E,1)/r! |
Ω |
1.1950008431197 |
Real period |
R |
0.76818085328692 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23408e1 93632c1 105336bm1 81928h1 |
Quadratic twists by: -4 8 -3 -7 |