Atkin-Lehner |
3- 5+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
103635y |
Isogeny class |
Conductor |
103635 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
135168 |
Modular degree for the optimal curve |
Δ |
705426345225 = 36 · 52 · 77 · 47 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- -6 -2 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2288,-11294] |
[a1,a2,a3,a4,a6] |
Generators |
[-40:142:1] [-10:107:1] |
Generators of the group modulo torsion |
j |
15438249/8225 |
j-invariant |
L |
6.0758433405762 |
L(r)(E,1)/r! |
Ω |
0.73360920772386 |
Real period |
R |
2.0705313116679 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000158 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11515h1 14805k1 |
Quadratic twists by: -3 -7 |