Atkin-Lehner |
2+ 5+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
64400d |
Isogeny class |
Conductor |
64400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
-8628593750000 = -1 · 24 · 510 · 74 · 23 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7+ -2 1 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-81908,9051187] |
[a1,a2,a3,a4,a6] |
Generators |
[107:1225:1] |
Generators of the group modulo torsion |
j |
-243090490825984/34514375 |
j-invariant |
L |
3.6098582817194 |
L(r)(E,1)/r! |
Ω |
0.70819294841563 |
Real period |
R |
1.2743201870353 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994208 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32200x1 12880e1 |
Quadratic twists by: -4 5 |