Atkin-Lehner |
2+ 3- 7- 23+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
107226m |
Isogeny class |
Conductor |
107226 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
5222400 |
Modular degree for the optimal curve |
Δ |
-2.3855837004097E+21 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 2 0 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,2879604,1408074192] |
[a1,a2,a3,a4,a6] |
Generators |
[-231672:1911651:512] |
Generators of the group modulo torsion |
j |
3622383303992721463103/3272405624704613376 |
j-invariant |
L |
6.9286128065235 |
L(r)(E,1)/r! |
Ω |
0.094798483808361 |
Real period |
R |
9.1359752726884 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999636741 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35742p1 |
Quadratic twists by: -3 |