Atkin-Lehner |
2- 5- 17- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
125800p |
Isogeny class |
Conductor |
125800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
694272 |
Modular degree for the optimal curve |
Δ |
541515419264000 = 210 · 53 · 174 · 373 |
Discriminant |
Eigenvalues |
2- -2 5- 0 -4 6 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-80568,-8757632] |
[a1,a2,a3,a4,a6] |
j |
451863104463284/4230589213 |
j-invariant |
L |
1.1341330527582 |
L(r)(E,1)/r! |
Ω |
0.28353317736017 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
125800f1 |
Quadratic twists by: 5 |