Atkin-Lehner |
2- 5- 23+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
102350ba |
Isogeny class |
Conductor |
102350 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
445440 |
Modular degree for the optimal curve |
Δ |
18218300000000 = 28 · 58 · 23 · 892 |
Discriminant |
Eigenvalues |
2- -2 5- -1 -1 -5 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-34638,2469892] |
[a1,a2,a3,a4,a6] |
Generators |
[-204:1130:1] [-834:18217:8] |
Generators of the group modulo torsion |
j |
11765838549505/46638848 |
j-invariant |
L |
11.890016005558 |
L(r)(E,1)/r! |
Ω |
0.69277458782856 |
Real period |
R |
0.35756026725602 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000416 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102350h1 |
Quadratic twists by: 5 |