Atkin-Lehner |
2+ 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
124992cx |
Isogeny class |
Conductor |
124992 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
373224112128 = 218 · 38 · 7 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 4 7- 2 2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2028,-19280] |
[a1,a2,a3,a4,a6] |
Generators |
[440:9180:1] |
Generators of the group modulo torsion |
j |
4826809/1953 |
j-invariant |
L |
11.196320905599 |
L(r)(E,1)/r! |
Ω |
0.73693283049189 |
Real period |
R |
3.7982840945665 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999198968 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124992fk1 1953f1 41664bz1 |
Quadratic twists by: -4 8 -3 |