Atkin-Lehner |
3+ 5+ 7- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
109725r |
Isogeny class |
Conductor |
109725 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
383040 |
Modular degree for the optimal curve |
Δ |
-72970204212675 = -1 · 37 · 52 · 72 · 11 · 195 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- 11+ 1 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-45565,3747220] |
[a1,a2,a3,a4,a6] |
Generators |
[84:680:1] |
Generators of the group modulo torsion |
j |
-418497357298522945/2918808168507 |
j-invariant |
L |
7.4933315967018 |
L(r)(E,1)/r! |
Ω |
0.61750177895457 |
Real period |
R |
1.2134915023192 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999765371 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109725cg1 |
Quadratic twists by: 5 |