Atkin-Lehner |
2- 3- 5+ 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
103350bv |
Isogeny class |
Conductor |
103350 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
1474560 |
Modular degree for the optimal curve |
Δ |
-8598720000000000 = -1 · 215 · 3 · 510 · 132 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5+ 5 5 13+ -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-75713,-9182583] |
[a1,a2,a3,a4,a6] |
j |
-3071958955278409/550318080000 |
j-invariant |
L |
8.5509462430175 |
L(r)(E,1)/r! |
Ω |
0.14251577931476 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20670h1 |
Quadratic twists by: 5 |