Atkin-Lehner |
3+ 13- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
15249d |
Isogeny class |
Conductor |
15249 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
674265033 = 33 · 13 · 174 · 23 |
Discriminant |
Eigenvalues |
1 3+ 2 0 4 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-264,-1197] |
[a1,a2,a3,a4,a6] |
Generators |
[139766:1352957:1331] |
Generators of the group modulo torsion |
j |
2046931732873/674265033 |
j-invariant |
L |
5.7917956729783 |
L(r)(E,1)/r! |
Ω |
1.2150145740054 |
Real period |
R |
9.5337056803937 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45747j1 |
Quadratic twists by: -3 |