Atkin-Lehner |
2- 3+ 5- 19- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
124830bw |
Isogeny class |
Conductor |
124830 |
Conductor |
∏ cp |
1008 |
Product of Tamagawa factors cp |
deg |
3290112 |
Modular degree for the optimal curve |
Δ |
-5260547911680000000 = -1 · 218 · 33 · 57 · 194 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 -4 -2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,171613,106860899] |
[a1,a2,a3,a4,a6] |
Generators |
[-293:5746:1] [-243:7246:1] |
Generators of the group modulo torsion |
j |
20702026994592082797/194835107840000000 |
j-invariant |
L |
16.504989158872 |
L(r)(E,1)/r! |
Ω |
0.17739069472074 |
Real period |
R |
0.36921885247143 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999972181 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124830f1 |
Quadratic twists by: -3 |