Atkin-Lehner |
2- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
100672ce |
Isogeny class |
Conductor |
100672 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
709632 |
Modular degree for the optimal curve |
Δ |
-1028554740943814656 = -1 · 225 · 119 · 13 |
Discriminant |
Eigenvalues |
2- 0 1 1 11+ 13- 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,250228,7730448] |
[a1,a2,a3,a4,a6] |
Generators |
[228085:773754223:274625] |
Generators of the group modulo torsion |
j |
2803221/1664 |
j-invariant |
L |
7.434166814542 |
L(r)(E,1)/r! |
Ω |
0.16898053222493 |
Real period |
R |
10.998555137607 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014945 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100672c1 25168n1 100672ca1 |
Quadratic twists by: -4 8 -11 |