Atkin-Lehner |
3- 11- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
117249y |
Isogeny class |
Conductor |
117249 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
deg |
302400 |
Modular degree for the optimal curve |
Δ |
-25470952449129 = -1 · 33 · 112 · 177 · 19 |
Discriminant |
Eigenvalues |
1 3- 3 -1 11- -6 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-7692,354847] |
[a1,a2,a3,a4,a6] |
Generators |
[605:14436:1] |
Generators of the group modulo torsion |
j |
-415886673230017/210503739249 |
j-invariant |
L |
11.252152045967 |
L(r)(E,1)/r! |
Ω |
0.62453799695892 |
Real period |
R |
0.85794101413842 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000030137 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117249p1 |
Quadratic twists by: -11 |