Atkin-Lehner |
2+ 19+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
15656a |
Isogeny class |
Conductor |
15656 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
31680 |
Modular degree for the optimal curve |
Δ |
43291203711568 = 24 · 195 · 1033 |
Discriminant |
Eigenvalues |
2+ 1 2 3 0 -4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-30367,-2022218] |
[a1,a2,a3,a4,a6] |
Generators |
[77742:572914:343] |
Generators of the group modulo torsion |
j |
193563603802421248/2705700231973 |
j-invariant |
L |
7.0096422629841 |
L(r)(E,1)/r! |
Ω |
0.36196401784504 |
Real period |
R |
9.6827887820399 |
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 |
31312h1 125248p1 |
Quadratic twists by: -4 8 |