Atkin-Lehner |
2+ 5+ 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
124930b |
Isogeny class |
Conductor |
124930 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
1339200 |
Modular degree for the optimal curve |
Δ |
-599616514962520640 = -1 · 26 · 5 · 133 · 318 |
Discriminant |
Eigenvalues |
2+ 1 5+ 2 0 13- 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,174401,24553042] |
[a1,a2,a3,a4,a6] |
j |
687829271/703040 |
j-invariant |
L |
1.5304409609285 |
L(r)(E,1)/r! |
Ω |
0.1913050384743 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
124930a1 |
Quadratic twists by: -31 |