Atkin-Lehner |
2- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
100672cg |
Isogeny class |
Conductor |
100672 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-95820414976 = -1 · 215 · 113 · 133 |
Discriminant |
Eigenvalues |
2- 0 1 -3 11+ 13- -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3212,-71632] |
[a1,a2,a3,a4,a6] |
Generators |
[88:572:1] |
Generators of the group modulo torsion |
j |
-84027672/2197 |
j-invariant |
L |
4.5312429832178 |
L(r)(E,1)/r! |
Ω |
0.31659596146816 |
Real period |
R |
1.1926986669368 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019443 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100672cf1 50336b1 100672cb1 |
Quadratic twists by: -4 8 -11 |