Atkin-Lehner |
2- 5+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
12350r |
Isogeny class |
Conductor |
12350 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
59136 |
Modular degree for the optimal curve |
Δ |
-9060885854800 = -1 · 24 · 52 · 137 · 192 |
Discriminant |
Eigenvalues |
2- -2 5+ -5 3 13- -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-6623,252457] |
[a1,a2,a3,a4,a6] |
Generators |
[36:229:1] |
Generators of the group modulo torsion |
j |
-1285144810759705/362435434192 |
j-invariant |
L |
3.8699866026097 |
L(r)(E,1)/r! |
Ω |
0.69344854127671 |
Real period |
R |
0.099656859167657 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98800ch1 111150bu1 12350h1 |
Quadratic twists by: -4 -3 5 |