Atkin-Lehner |
2+ 3- 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
107328w |
Isogeny class |
Conductor |
107328 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-699797449728 = -1 · 210 · 37 · 132 · 432 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 0 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2171,10955] |
[a1,a2,a3,a4,a6] |
Generators |
[38:387:1] |
Generators of the group modulo torsion |
j |
1104595238912/683395947 |
j-invariant |
L |
6.5775978069005 |
L(r)(E,1)/r! |
Ω |
0.55913348831169 |
Real period |
R |
0.84027950851305 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000043141 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107328cb1 6708c1 |
Quadratic twists by: -4 8 |