Atkin-Lehner |
2- 5+ 19+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
67450n |
Isogeny class |
Conductor |
67450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
310272 |
Modular degree for the optimal curve |
Δ |
-1870683593750 = -1 · 2 · 510 · 19 · 712 |
Discriminant |
Eigenvalues |
2- 3 5+ -3 2 -1 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-16980,858397] |
[a1,a2,a3,a4,a6] |
Generators |
[143292:142265:1728] |
Generators of the group modulo torsion |
j |
-34649164377801/119723750 |
j-invariant |
L |
17.041068201733 |
L(r)(E,1)/r! |
Ω |
0.83707547013735 |
Real period |
R |
5.0894658873162 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000141 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13490b1 |
Quadratic twists by: 5 |