Atkin-Lehner |
2+ 5- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
115150bd |
Isogeny class |
Conductor |
115150 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
419328 |
Modular degree for the optimal curve |
Δ |
-132763367030000 = -1 · 24 · 54 · 710 · 47 |
Discriminant |
Eigenvalues |
2+ -1 5- 7- 2 0 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-61275,5838925] |
[a1,a2,a3,a4,a6] |
j |
-144120025/752 |
j-invariant |
L |
1.1748605885051 |
L(r)(E,1)/r! |
Ω |
0.58743020350631 |
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 |
115150bs1 115150s1 |
Quadratic twists by: 5 -7 |