Atkin-Lehner |
2- 3- 5- 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
113220l |
Isogeny class |
Conductor |
113220 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
83328 |
Modular degree for the optimal curve |
Δ |
49889260800 = 28 · 36 · 52 · 172 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 1 -2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4032,97956] |
[a1,a2,a3,a4,a6] |
Generators |
[52:-170:1] |
Generators of the group modulo torsion |
j |
38843449344/267325 |
j-invariant |
L |
7.7392472381667 |
L(r)(E,1)/r! |
Ω |
1.1334146594745 |
Real period |
R |
0.56902146414617 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012843 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12580b1 |
Quadratic twists by: -3 |