Atkin-Lehner |
2+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
63536i |
Isogeny class |
Conductor |
63536 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
-17265082581967616 = -1 · 28 · 11 · 1910 |
Discriminant |
Eigenvalues |
2+ 1 -3 -2 11- -4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-222857,-41058589] |
[a1,a2,a3,a4,a6] |
Generators |
[420655088282:28331211876773:91733851] |
Generators of the group modulo torsion |
j |
-101634915328/1433531 |
j-invariant |
L |
3.9007222643242 |
L(r)(E,1)/r! |
Ω |
0.10977375718181 |
Real period |
R |
17.767098277705 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31768g1 3344c1 |
Quadratic twists by: -4 -19 |