Atkin-Lehner |
3+ 5+ 7+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
109725c |
Isogeny class |
Conductor |
109725 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1209600 |
Modular degree for the optimal curve |
Δ |
-234028209228515625 = -1 · 3 · 513 · 7 · 113 · 193 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7+ 11+ -3 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,39187,23099156] |
[a1,a2,a3,a4,a6] |
Generators |
[1070:35402:1] |
Generators of the group modulo torsion |
j |
425920990876919/14977805390625 |
j-invariant |
L |
2.5820107036361 |
L(r)(E,1)/r! |
Ω |
0.23669868333969 |
Real period |
R |
2.7271071475873 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000073569 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21945bb1 |
Quadratic twists by: 5 |