Atkin-Lehner |
2+ 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
103488ef |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
745424064 = 26 · 32 · 76 · 11 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11- -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6484,-203134] |
[a1,a2,a3,a4,a6] |
Generators |
[97:300:1] [149:1470:1] |
Generators of the group modulo torsion |
j |
4004529472/99 |
j-invariant |
L |
12.092449183285 |
L(r)(E,1)/r! |
Ω |
0.53202723627434 |
Real period |
R |
11.364502001643 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000123 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103488bf1 51744by4 2112f1 |
Quadratic twists by: -4 8 -7 |