Atkin-Lehner |
5+ 23- 41- |
Signs for the Atkin-Lehner involutions |
Class |
23575c |
Isogeny class |
Conductor |
23575 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-604109375 = -1 · 56 · 23 · 412 |
Discriminant |
Eigenvalues |
-1 0 5+ -2 2 -6 -8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-330,2672] |
[a1,a2,a3,a4,a6] |
Generators |
[4:35:1] |
Generators of the group modulo torsion |
j |
-253636137/38663 |
j-invariant |
L |
1.9235605920592 |
L(r)(E,1)/r! |
Ω |
1.5724753500936 |
Real period |
R |
1.2232691545497 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
943a1 |
Quadratic twists by: 5 |