Atkin-Lehner |
2+ 5+ 17- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
50150k |
Isogeny class |
Conductor |
50150 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
316321421888000000 = 212 · 56 · 175 · 592 |
Discriminant |
Eigenvalues |
2+ -2 5+ -2 4 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-770976,259087598] |
[a1,a2,a3,a4,a6] |
Generators |
[48245:521447:125] [-487:23027:1] |
Generators of the group modulo torsion |
j |
3243586268529106417/20244571000832 |
j-invariant |
L |
5.1901881465182 |
L(r)(E,1)/r! |
Ω |
0.30730288474412 |
Real period |
R |
1.6889487226385 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2006h1 |
Quadratic twists by: 5 |