Atkin-Lehner |
3+ 7- 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
15351c |
Isogeny class |
Conductor |
15351 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-1980279 = -1 · 32 · 7 · 17 · 432 |
Discriminant |
Eigenvalues |
-1 3+ 2 7- -2 2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,8,-64] |
[a1,a2,a3,a4,a6] |
Generators |
[7:16:1] |
Generators of the group modulo torsion |
j |
56181887/1980279 |
j-invariant |
L |
2.941349350479 |
L(r)(E,1)/r! |
Ω |
1.2625531499519 |
Real period |
R |
2.3296835864621 |
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 |
46053j1 107457q1 |
Quadratic twists by: -3 -7 |