Atkin-Lehner |
3+ 5- 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
7905c |
Isogeny class |
Conductor |
7905 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
8160 |
Modular degree for the optimal curve |
Δ |
-16505837625 = -1 · 3 · 53 · 175 · 31 |
Discriminant |
Eigenvalues |
1 3+ 5- -2 1 -5 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4762,-128639] |
[a1,a2,a3,a4,a6] |
Generators |
[272:4199:1] |
Generators of the group modulo torsion |
j |
-11946326430565801/16505837625 |
j-invariant |
L |
4.0262136965729 |
L(r)(E,1)/r! |
Ω |
0.28732562848557 |
Real period |
R |
4.6709068009866 |
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 |
126480bx1 23715g1 39525g1 |
Quadratic twists by: -4 -3 5 |