Atkin-Lehner |
11- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
31603m |
Isogeny class |
Conductor |
31603 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
64800 |
Modular degree for the optimal curve |
Δ |
-109216207243 = -1 · 113 · 136 · 17 |
Discriminant |
Eigenvalues |
-2 0 -4 5 11- 13+ 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,1183,2746] |
[a1,a2,a3,a4,a6] |
Generators |
[91:929:1] |
Generators of the group modulo torsion |
j |
37933056/22627 |
j-invariant |
L |
2.0970412754808 |
L(r)(E,1)/r! |
Ω |
0.64542075916062 |
Real period |
R |
0.54151787696038 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
187b1 |
Quadratic twists by: 13 |