Atkin-Lehner |
2+ 3- 7- 19+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
34314i |
Isogeny class |
Conductor |
34314 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
76032 |
Modular degree for the optimal curve |
Δ |
-1332626190336 = -1 · 212 · 33 · 73 · 19 · 432 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -2 -6 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,2748,-2750] |
[a1,a2,a3,a4,a6] |
Generators |
[44:-474:1] [10:155:1] |
Generators of the group modulo torsion |
j |
2296154253894983/1332626190336 |
j-invariant |
L |
6.8513823435552 |
L(r)(E,1)/r! |
Ω |
0.5084074917074 |
Real period |
R |
1.4973514695524 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102942bo1 |
Quadratic twists by: -3 |