Atkin-Lehner |
2- 3- 7+ 23+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
107226u |
Isogeny class |
Conductor |
107226 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
303104 |
Modular degree for the optimal curve |
Δ |
-96987266117532 = -1 · 22 · 314 · 7 · 232 · 372 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 0 2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,3505,-467917] |
[a1,a2,a3,a4,a6] |
Generators |
[386364:5654729:1728] |
Generators of the group modulo torsion |
j |
6533959052375/133041517308 |
j-invariant |
L |
10.240060467325 |
L(r)(E,1)/r! |
Ω |
0.29146536738473 |
Real period |
R |
8.7832565960244 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000024362 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35742e1 |
Quadratic twists by: -3 |