Atkin-Lehner |
2- 3- 5+ 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
44730bs |
Isogeny class |
Conductor |
44730 |
Conductor |
∏ cp |
252 |
Product of Tamagawa factors cp |
deg |
7741440 |
Modular degree for the optimal curve |
Δ |
-2.5614144607976E+24 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 3 -2 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,29835472,-44668974189] |
[a1,a2,a3,a4,a6] |
Generators |
[25373:4116081:1] |
Generators of the group modulo torsion |
j |
4028978370557978310924359/3513600083398659932160 |
j-invariant |
L |
9.4412679037789 |
L(r)(E,1)/r! |
Ω |
0.044697602421489 |
Real period |
R |
0.83819593881708 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999911 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14910k1 |
Quadratic twists by: -3 |