Atkin-Lehner |
2- 3+ 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
100920bf |
Isogeny class |
Conductor |
100920 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2856960 |
Modular degree for the optimal curve |
Δ |
1158473355552000000 = 211 · 316 · 56 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 2 4 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12517840,17050868812] |
[a1,a2,a3,a4,a6] |
Generators |
[130276:32805:64] |
Generators of the group modulo torsion |
j |
125946466416225636242/672605015625 |
j-invariant |
L |
7.2386299821799 |
L(r)(E,1)/r! |
Ω |
0.24332456551845 |
Real period |
R |
2.4790721943867 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009841 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100920t1 |
Quadratic twists by: 29 |