Atkin-Lehner |
3- 7- 37+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
100233j |
Isogeny class |
Conductor |
100233 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
113664 |
Modular degree for the optimal curve |
Δ |
-116254142487 = -1 · 38 · 7 · 372 · 432 |
Discriminant |
Eigenvalues |
1 3- 2 7- 0 -4 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4761,-126320] |
[a1,a2,a3,a4,a6] |
Generators |
[1414:16321:8] [113012:4687745:64] |
Generators of the group modulo torsion |
j |
-16373519373457/159470703 |
j-invariant |
L |
15.440956496812 |
L(r)(E,1)/r! |
Ω |
0.28720268662652 |
Real period |
R |
26.881636586937 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999637 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33411a1 |
Quadratic twists by: -3 |