Atkin-Lehner |
2+ 3+ 5+ 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
15510a |
Isogeny class |
Conductor |
15510 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
47040 |
Modular degree for the optimal curve |
Δ |
-873523200000 = -1 · 214 · 3 · 55 · 112 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -5 11- -7 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1628,-52272] |
[a1,a2,a3,a4,a6] |
Generators |
[88:660:1] |
Generators of the group modulo torsion |
j |
-477643276100809/873523200000 |
j-invariant |
L |
1.5985682865777 |
L(r)(E,1)/r! |
Ω |
0.35425258355959 |
Real period |
R |
1.1281274722932 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124080bu1 46530ba1 77550by1 |
Quadratic twists by: -4 -3 5 |