Atkin-Lehner |
2+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
100672bt |
Isogeny class |
Conductor |
100672 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
-6528911929819136 = -1 · 214 · 119 · 132 |
Discriminant |
Eigenvalues |
2+ -1 -3 -2 11- 13- 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,43883,1595981] |
[a1,a2,a3,a4,a6] |
Generators |
[4:1331:1] |
Generators of the group modulo torsion |
j |
321978368/224939 |
j-invariant |
L |
2.6753665211966 |
L(r)(E,1)/r! |
Ω |
0.26723193942462 |
Real period |
R |
1.2514253231559 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999700242 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100672dr1 6292d1 9152c1 |
Quadratic twists by: -4 8 -11 |