Atkin-Lehner |
2- 3+ 37+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
10434f |
Isogeny class |
Conductor |
10434 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
2128 |
Modular degree for the optimal curve |
Δ |
-7606386 = -1 · 2 · 37 · 37 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 1 -4 4 0 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,30,129] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:33:8] |
Generators of the group modulo torsion |
j |
2979767519/7606386 |
j-invariant |
L |
5.5897382201043 |
L(r)(E,1)/r! |
Ω |
1.6401551203263 |
Real period |
R |
3.4080546107078 |
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 |
83472r1 31302e1 |
Quadratic twists by: -4 -3 |