Atkin-Lehner |
2+ 3- 5+ 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
115440z |
Isogeny class |
Conductor |
115440 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
344064 |
Modular degree for the optimal curve |
Δ |
13653430502400 = 210 · 38 · 52 · 133 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -2 13- 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-28176,1802340] |
[a1,a2,a3,a4,a6] |
Generators |
[72:-390:1] |
Generators of the group modulo torsion |
j |
2415890159871556/13333428225 |
j-invariant |
L |
7.7690487012433 |
L(r)(E,1)/r! |
Ω |
0.71005583486273 |
Real period |
R |
0.22794711736777 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000033905 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57720e1 |
Quadratic twists by: -4 |