Atkin-Lehner |
2- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
7406f |
Isogeny class |
Conductor |
7406 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
2016 |
Modular degree for the optimal curve |
Δ |
-3317888 = -1 · 27 · 72 · 232 |
Discriminant |
Eigenvalues |
2- -1 -4 7+ 0 2 5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,35,51] |
[a1,a2,a3,a4,a6] |
Generators |
[3:12:1] |
Generators of the group modulo torsion |
j |
8947391/6272 |
j-invariant |
L |
3.640063660788 |
L(r)(E,1)/r! |
Ω |
1.5907878856445 |
Real period |
R |
0.16344388183079 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59248ba1 66654q1 51842m1 7406h1 |
Quadratic twists by: -4 -3 -7 -23 |