Atkin-Lehner |
3+ 5+ 7- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
109725q |
Isogeny class |
Conductor |
109725 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
149760 |
Modular degree for the optimal curve |
Δ |
-1414423828125 = -1 · 32 · 510 · 7 · 112 · 19 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- 11+ 1 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,2175,42750] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:106:1] |
Generators of the group modulo torsion |
j |
116436575/144837 |
j-invariant |
L |
6.4552817060982 |
L(r)(E,1)/r! |
Ω |
0.5720547133628 |
Real period |
R |
2.8210945433451 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999762173 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109725cf1 |
Quadratic twists by: 5 |