Atkin-Lehner |
2+ 3- 5+ 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
15510g |
Isogeny class |
Conductor |
15510 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
129600 |
Modular degree for the optimal curve |
Δ |
-6156547155000 = -1 · 23 · 39 · 54 · 113 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 11- -4 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-297514,62436212] |
[a1,a2,a3,a4,a6] |
Generators |
[-284:11279:1] |
Generators of the group modulo torsion |
j |
-2912351799169324199449/6156547155000 |
j-invariant |
L |
3.2910435067624 |
L(r)(E,1)/r! |
Ω |
0.6498655063724 |
Real period |
R |
0.84403195083993 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
124080bh1 46530be1 77550bo1 |
Quadratic twists by: -4 -3 5 |