Atkin-Lehner |
2- 3+ 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
124722bg |
Isogeny class |
Conductor |
124722 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
13934592 |
Modular degree for the optimal curve |
Δ |
-1.5099301441442E+23 |
Discriminant |
Eigenvalues |
2- 3+ 2 -2 -4 13+ 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-40699964,-101663397377] |
[a1,a2,a3,a4,a6] |
Generators |
[289150433:104628325105:2197] |
Generators of the group modulo torsion |
j |
-78479164538849619/1589298410752 |
j-invariant |
L |
12.284374670364 |
L(r)(E,1)/r! |
Ω |
0.029850388738492 |
Real period |
R |
12.860358688278 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000059583 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124722e1 9594d1 |
Quadratic twists by: -3 13 |