Atkin-Lehner |
2+ 3- 5- 23- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
127650bn |
Isogeny class |
Conductor |
127650 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1935360 |
Modular degree for the optimal curve |
Δ |
-156427416000000000 = -1 · 212 · 33 · 59 · 232 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 -4 4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,34924,18865298] |
[a1,a2,a3,a4,a6] |
j |
2412034345531/80090836992 |
j-invariant |
L |
2.9344229477604 |
L(r)(E,1)/r! |
Ω |
0.24453521333772 |
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 |
127650cn1 |
Quadratic twists by: 5 |