Atkin-Lehner |
2+ 3+ 5- 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
100650k |
Isogeny class |
Conductor |
100650 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
52736 |
Modular degree for the optimal curve |
Δ |
-149465250 = -1 · 2 · 34 · 53 · 112 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 11+ 3 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-190,-1250] |
[a1,a2,a3,a4,a6] |
Generators |
[19:40:1] |
Generators of the group modulo torsion |
j |
-6118445789/1195722 |
j-invariant |
L |
5.1982559659627 |
L(r)(E,1)/r! |
Ω |
0.63580682478387 |
Real period |
R |
1.0219802141861 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011877 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100650cp1 |
Quadratic twists by: 5 |