Atkin-Lehner |
2- 5- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
100450cl |
Isogeny class |
Conductor |
100450 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-642880000 = -1 · 29 · 54 · 72 · 41 |
Discriminant |
Eigenvalues |
2- 2 5- 7- 0 1 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,62,1231] |
[a1,a2,a3,a4,a6] |
Generators |
[1:35:1] |
Generators of the group modulo torsion |
j |
859775/20992 |
j-invariant |
L |
15.934560362005 |
L(r)(E,1)/r! |
Ω |
1.2153684832131 |
Real period |
R |
1.4567653587129 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013968 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100450s1 100450cf1 |
Quadratic twists by: 5 -7 |