Atkin-Lehner |
2+ 3- 29- 71- |
Signs for the Atkin-Lehner involutions |
Class |
37062d |
Isogeny class |
Conductor |
37062 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
614400 |
Modular degree for the optimal curve |
Δ |
-1056676595077582848 = -1 · 212 · 311 · 295 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 0 -1 0 -6 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-455382,128317684] |
[a1,a2,a3,a4,a6] |
Generators |
[527:5609:1] [1020:26402:1] |
Generators of the group modulo torsion |
j |
-14325978686840502625/1449487784742912 |
j-invariant |
L |
6.4496056225976 |
L(r)(E,1)/r! |
Ω |
0.26958657463345 |
Real period |
R |
0.59810152187368 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999974 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12354g1 |
Quadratic twists by: -3 |