Atkin-Lehner |
2+ 5- 67- |
Signs for the Atkin-Lehner involutions |
Class |
107200bm |
Isogeny class |
Conductor |
107200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
250880 |
Modular degree for the optimal curve |
Δ |
-134000000000 = -1 · 210 · 59 · 67 |
Discriminant |
Eigenvalues |
2+ -3 5- 3 2 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11500,475000] |
[a1,a2,a3,a4,a6] |
Generators |
[450:625:8] |
Generators of the group modulo torsion |
j |
-84098304/67 |
j-invariant |
L |
4.9324215986895 |
L(r)(E,1)/r! |
Ω |
1.0303781562928 |
Real period |
R |
2.393500656794 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000022349 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107200de1 13400h1 107200bg1 |
Quadratic twists by: -4 8 5 |