Atkin-Lehner |
2+ 3- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
124992ce |
Isogeny class |
Conductor |
124992 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
8847360 |
Modular degree for the optimal curve |
Δ |
-2.8757932980384E+23 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ -2 -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,16461204,-2208207440] |
[a1,a2,a3,a4,a6] |
Generators |
[84425613274002:-11751166568562688:4566034179] |
Generators of the group modulo torsion |
j |
2581315285024874663/1504839620100096 |
j-invariant |
L |
4.2619747832331 |
L(r)(E,1)/r! |
Ω |
0.057528281354044 |
Real period |
R |
18.521215511069 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999893818 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124992gc1 3906q1 41664bs1 |
Quadratic twists by: -4 8 -3 |