Atkin-Lehner |
7- 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
107387i |
Isogeny class |
Conductor |
107387 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
-140309451845423 = -1 · 72 · 237 · 292 |
Discriminant |
Eigenvalues |
1 0 -2 7- 2 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,7307,-518544] |
[a1,a2,a3,a4,a6] |
Generators |
[667336:23800855:512] |
Generators of the group modulo torsion |
j |
291434247/947807 |
j-invariant |
L |
6.176364698751 |
L(r)(E,1)/r! |
Ω |
0.29704765333579 |
Real period |
R |
10.396252265465 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000033781 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4669a1 |
Quadratic twists by: -23 |