Atkin-Lehner |
3- 5+ 7+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
107415g |
Isogeny class |
Conductor |
107415 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
35735040 |
Modular degree for the optimal curve |
Δ |
-7.4426349913432E+22 |
Discriminant |
Eigenvalues |
-2 3- 5+ 7+ 11+ 2 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-565663773,5178298216378] |
[a1,a2,a3,a4,a6] |
Generators |
[13708:6277:1] |
Generators of the group modulo torsion |
j |
-27458150537757463607079202816/102093758454638671875 |
j-invariant |
L |
3.3103332092054 |
L(r)(E,1)/r! |
Ω |
0.095632702694954 |
Real period |
R |
2.1634422292836 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999064529 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35805h1 |
Quadratic twists by: -3 |