Atkin-Lehner |
2+ 5- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
100450bd |
Isogeny class |
Conductor |
100450 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-35157500 = -1 · 22 · 54 · 73 · 41 |
Discriminant |
Eigenvalues |
2+ -1 5- 7- -6 -3 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-725,7225] |
[a1,a2,a3,a4,a6] |
Generators |
[20:-45:1] [-15:130:1] |
Generators of the group modulo torsion |
j |
-197014975/164 |
j-invariant |
L |
6.1135817988334 |
L(r)(E,1)/r! |
Ω |
2.049506922193 |
Real period |
R |
0.24857937503208 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000118 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100450bs1 100450w1 |
Quadratic twists by: 5 -7 |