Atkin-Lehner |
5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
3575c |
Isogeny class |
Conductor |
3575 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
-29500732421875 = -1 · 513 · 11 · 133 |
Discriminant |
Eigenvalues |
2 0 5+ 0 11+ 13+ 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,1075,-260969] |
[a1,a2,a3,a4,a6] |
Generators |
[2322370:3676373:39304] |
Generators of the group modulo torsion |
j |
8792838144/1888046875 |
j-invariant |
L |
6.3106324796328 |
L(r)(E,1)/r! |
Ω |
0.31194026314237 |
Real period |
R |
10.115129762445 |
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 |
57200bk1 32175s1 715b1 39325m1 |
Quadratic twists by: -4 -3 5 -11 |