Atkin-Lehner |
2+ 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
103488en |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
deg |
2949120 |
Modular degree for the optimal curve |
Δ |
-7744748880557703168 = -1 · 216 · 34 · 77 · 116 |
Discriminant |
Eigenvalues |
2+ 3- -4 7- 11- -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-658625,245247519] |
[a1,a2,a3,a4,a6] |
Generators |
[-845:14112:1] [-407:21120:1] |
Generators of the group modulo torsion |
j |
-4097989445764/1004475087 |
j-invariant |
L |
11.144637646054 |
L(r)(E,1)/r! |
Ω |
0.22310824078571 |
Real period |
R |
0.520330289303 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000501 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103488fu1 12936d1 14784l1 |
Quadratic twists by: -4 8 -7 |