Atkin-Lehner |
2- 3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
15210be |
Isogeny class |
Conductor |
15210 |
Conductor |
∏ cp |
70 |
Product of Tamagawa factors cp |
deg |
6720 |
Modular degree for the optimal curve |
Δ |
-1825200000 = -1 · 27 · 33 · 55 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -3 13+ -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-422,4021] |
[a1,a2,a3,a4,a6] |
Generators |
[1:59:1] |
Generators of the group modulo torsion |
j |
-1817378667/400000 |
j-invariant |
L |
7.7232941435966 |
L(r)(E,1)/r! |
Ω |
1.4196636103347 |
Real period |
R |
0.07771754708423 |
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 |
121680cr1 15210a1 76050c1 15210b1 |
Quadratic twists by: -4 -3 5 13 |