Atkin-Lehner |
2- 5+ 11- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
100430y |
Isogeny class |
Conductor |
100430 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
266112 |
Modular degree for the optimal curve |
Δ |
-29534366624180 = -1 · 22 · 5 · 118 · 832 |
Discriminant |
Eigenvalues |
2- 1 5+ 1 11- -2 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1636,-262844] |
[a1,a2,a3,a4,a6] |
Generators |
[288:4670:1] |
Generators of the group modulo torsion |
j |
-2259169/137780 |
j-invariant |
L |
11.346566951636 |
L(r)(E,1)/r! |
Ω |
0.29124116002491 |
Real period |
R |
3.2466126875757 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007281 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100430d1 |
Quadratic twists by: -11 |