Atkin-Lehner |
2+ 3- 5+ 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
100650x |
Isogeny class |
Conductor |
100650 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
570240 |
Modular degree for the optimal curve |
Δ |
1767200705740800 = 220 · 33 · 52 · 11 · 613 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 11- 0 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-90171,10216198] |
[a1,a2,a3,a4,a6] |
Generators |
[-337:1704:1] |
Generators of the group modulo torsion |
j |
3243227681020149265/70688028229632 |
j-invariant |
L |
5.7653210211987 |
L(r)(E,1)/r! |
Ω |
0.47056238663067 |
Real period |
R |
2.0419966962749 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999789299 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100650bz1 |
Quadratic twists by: 5 |